Yeah their were a lot of plans for the N1 rocket if it had worked.Certain other people in the Soviet space program had big plans (Mikhail Tikhonravov) and a working N1 would be a major step towards the planned interplanetary missions that were proposed.
I'll generally summarise what missions we likely would have seen with an working N1.
The large space stations and orbitial Nuclear reactors projects would have certainly be launched on top of an N1, with military funding being obviously required to actually get the expensive things off the ground.
The Soviet moon landings will happen either with the L3 or L3M landing profile alongside with the construction of the Zvezda moon base likely being attempted in the 1980s with political support coming from the Soviet Academy of Sciences and the Government for prestige and Communist propaganda reasons.
The Soviet interplantary robotic Mars plans with the N1 had the proposed 4MN mission that would land "Marsokhod" rovers (modified Lunokhod rovers) on Mars in order to test the technology and equipment that would later be used on the far more ambitious 5MN Mars Sample Return mission that requires a two stage rocket to get back to Earth in the span of over 10 months to deliver just 200 grams of Martian dust.
However if the US decides to retire the Saturn V and move on to the Space Transportation System (Space Shuttle) then its possible that the Soviet leadership and military will still gaslight themselves into believing that the Shuttle will somehow become a Nuclear Space Bomber and demand that the Soviet Space Program must develop their own similarly sized Space Shuttle (the Buran Shuttle for example). This will undoubtedly divert resources from the maned Lunar and robotic Mars missions with the N1 rocket being likely chosen to launch the Soviet Space Shuttle since their would be no justification to waste a ridiculous amount of resources and money to develop the Energia Rocket, this means that the Soviet Shuttle will have to ditch the aerodynamic shape of the OTL Buran Shuttle and be a more orginal desgin.
I'll end this comment here since their are plenty of possibilities of what the N1 could have done if the Soviets had put the moon rocket into mass production in the 1970s instead of the OTL result of cancelling it and wasting over a decade developing what would eventually become the Energia Rocket only for it to be immediately killed off years later by the dissolution of the Soviet Union.