I'll give this a try, since one of my TLs cover a portion on Swedish-dominated North America. (Namely a recreated state of Vinland, but as a Swedish colony, not Norse) A Swedish dominated North America would see a ton of Scandinavian influence on the country's national culture, plus not to mention you may get some friendly interaction with the natives in the area. Though I doubt the Swedes could pull off the same level of colonization as the OTL British, but at least they can colonize North America in the same way as the French did. (Coureur de Bois pioneers intermarrying with Native women)
The Swedish Vinland colony that I had for my TL was populated not only by Swedes alone, but by Norwegians, Germans (mainly Protestant refugees fleeing from the Holy Roman Empire that resulted in a Catholic victory in the alternate 30YW, as well as Germans from Brandenburg and Prussia), Finns, Estonians, Latvians, Icelandics and Danes. Though Swedish was the lingua franca of Swedish Vinland, it also recognized several languages like German, Danish and even Icelandic.
Industrial wise, Swedish America (or Swedish Vinland) would have been a powerhouse compared to Old Scandinavia where the winter climate results in the Scandinavians focusing on agriculture in the summer and industry in the winter for obvious reasons. Swedish America/Vinland will have the luxury of not experiencing Scandinavian style winters (unless you live in the Extreme Far North, Iceland or even Greenland) but they can establish industries and focus on industrialization without having to take a break and focus on agriculture.
Cultural wise, Swedish may be the dominant language (or a special Creole version of Icelandic that incorporates a lot of native words, kinda like how OTL Michif was created) but German could also be used as a lingua franca in academica. Of course, to have Sweden even reach even greater status, you need to find a way to cripple England from even trying to become a naval power, and this is where preventing Elizabeth's reign from even occuring.