I wish I had known at least the rough plot and some characters of Star Trek (TV series). This is a pure entertainment, so you can enjoy it, without any knowledge of historic Star Trek, just by watching special effects and the designs of stuff. The story of the movie is confusing because some parts are not logical (at least to me). But you can enjoy it, without caring about the story.
Overall, this is a good movie to see after spending the whole day in front of computer revising my paper (a.k.a. crap). I like it. Young Spock is sexy. Eric Bana is completely a different person in the movie. Old Spock is forever Spock. Also, it was a surprise to find Simon Pegg in it. His "Shaun of the Dead" is hilarious/ridiculous.
Anyway, I enjoyed this Star Trek.