Hmmm. Interesting.
And never part of any supercontinent?
Okay, here are some off the top notes. First, it's really going to mess up ocean current. It sits right astride the north Equatorial Current, Equatorial Countercurrent, and the south Equatorial current.
The Equatorial currents move from East to West. In our timeline, the North Equatorial current moves across to the Phillipines and eventually turns upwards, becoming the Japan Current. In this timeline, the North Equatorial current is probably going to be kicked upwards by the Hawaiin continent, so we'll have a flow of tropical water directly towards Kamchatka, Siberia and Alaska. Those areas will be wetter, and likely much warmer (particularly along the coasts). Arctic water coming in through the Bering staight will form a countercurrent. Overall, terrible weather up there.
One variable is that with the Hawaiian continent literally punching tropical water north, much less chance of convenient land bridges across the bering into north America. So look for a later migration into North America, and possibly a mostly empty North America.
The South equatorial current is also pushed downwards, but its dislocation isn't as extreme. Still, Australia is likely to be drier than in our timeline. Of course, the Equatorial countercurrent doesn't have any chance of moving in the direction of the Americas. Instead, it'll probably head south, and form a circular local current. So Australia may be wetter than it would otherwise be.
In terms of wind patterns, in our timeline, there's a big perpetual high pressure region between North America and Hawaii, with winds blowing towards Hawaii. Likely to remain in this timeline, with the result that Hawain winds blow east to west, making the east coast the wettest and warmest area.
Geographically, I'm not getting much of a sense of the place. If the Hawaiin continent has any resemblance to current topography, then we'd assume that the highest areas are along the Eastern shores - where Hawaii and Midway are in our timeline.
http://commons.wikimedia.org/wiki/File:Pacific_elevation.jpg
If that's the case, not good. The winds are also flowing east to west. If the highlands and mountains are in the east, they'll form a cloud barrier. The result is that the Eastern coastal strip and some of the inland gets all the rainwater. The Hawaiin interior may well be an arid desert, much like Australia. Indeed, what we may get here is little more than another version of Australia.
Of course, its possible that the Eastern mountains and highlands get so much water that they become the river sources for the interior. The result would be that the Interior country doesn't get all that much rain, comparatively, but it is fed and watered by rivers originating from the coastal mountains. Still, we can expect a relatively dry arid interior. The Southern and Western shorelines will also be dry. A northern low pressure system and countervailing winds will produce seasonal rainfalls along the northern shores.
Okay, so what does this bring us for life? Well, I'm going to hedge a couple of bets here. First assumption is that this place was never part of Larasia, Gondwana or Pangea, but represents a brand new structure. Second, although Hawaii in our timeline is a million years old, a million years isn't nearly enough time for something this size, so I'm going to arbitrarily estimate a time period of 10 to 25 million years for formation.
What gets there? Man, it's going to be tough. The prevailing currents and winds are going to be coming from the empty ocean between Hawaii and North America. So under normal circumstances, we'd assume that the big biological influence would be drift from America. But there's a huge gulf of distance, so that makes it very difficult. Plants and insects are going to have to survive an ocean passage of more than 2500 miles.
What this means is minimal colonization events. Very few species make it, and they make it very infrequently. The Hawaii Continent East Coast botany and insect catalogue is going to resemble American coastal somewhat, but with fewer families and more species within the families.
The best prospects for plant and insect travel will be from the South Pacific, islands like Samoa, Tuvalu, Fiji, Tonga the Solomons, etc. But the problem is that the prevailing winds and currents will be going the wrong way. This makes colonization events difficult to say the least. Thus, more infrequent, fewer species. To make matters worse, the South and West coast shorelines will be the dryest and most inhospitable shores, and the furthest away from any river systems that are fed by east coast mountains. Which means that South Pacific plants and insects, which will derive either from Australia or Asia, will have a lot of difficulty making it.
We'll likely see very limited imports of a few families, and speciation from there as they move up to increasingly wet and fertile niches inland or along the coasts.
As for animals - for mammals, nothing but bats, seals and maybe pacific otters. Lots of Birds and bird diversification, likely lots of flightless bird species, including creatures the size of sheep or calves. But no Rattite giants like the Moa.
Alternately, if we assume that it's a breakaway plate from a supercontinent, then we can make different assumptions about the biology. If its from a supercontinent, then it'll have a much greater starting sample of insects, plants and animals.
But then, where is it from, and when did it break away? Given its position in the central Pacific, there are two possibilities. First, it may have broken from North America and is moving west. Or it may have broken from Asia and is moving east. If all the Mountains and highlands are in the East, then likely, its broken from Asia. However, to get that far into the Pacific, it would have to have broken away a long time ago. Perhaps as early as 150 million to 200 million years ago.
http://jan.ucc.nau.edu/~rcb7/150moll.jpghttp://commons.wikimedia.org/wiki/File:Pacific_elevation.jpg
On the other hand, we know that the Indian Plate moved incredibly fast over 30 or 40 million years, across what might be a similar distance. So let's assume our timetable to get the Hawaiin continent into the middle of the Pacific is anywhere from 175 to 35 million years.
That makes for a lot of variables. Mammals didn't show up until 135 million years ago or so. So if Hawaii broke away before that, there may be no indigenous mammals, and the continent might be populated by birds, reptiles and resurgent dinosaurs. On the other hand, if the breakaway was between 130 and 65 million years ago, we can assume a mammal dominated ecology, perhaps loosely parallel to Australia, but quite unique. Or, if the breakaway was between 60 and 35 million years ago, then we can assume some relationship and common ancestors with Asian fauna, particularly the Asian fauna that flourished at the time of breakaway.
As to who gets there? Easy. The Polynesians. Probably somewhere around 500 BCE to 500 CE, likely multiple waves of colonisation as they explore coasts and interiors. The most accessible coasts for the Polynesians will not support polynesian tropical agriculture, so likely a profusion of hunter gatherer societies moving inland, competing with coastal explorers.