avodah zarah - What exactly do Noahides do?

There is a modern "Noahide" movement(I believe propagated by the Lubavitcher Rebbe), where people join together to be b'nei noah and not part of another religion. From some googling, I've seen that there are a fair amount of people on the web who identify religiously as Noahides. My question is, given that the 7 Noahide laws are relatively easy to follow (even if there are of course issues in Noahide halachah), what exactly do members of the modern Noahide movement do? For example, do they pray in an organized manner? If so, what forms do the prayers take? Do they study Torah? (Are they allowed to study Torah?) Or do they just follow the 7 rules? Is there any sort of organized religion for Noahides?