I've always considered myself an "undercover Trekker." I can get lost in the mythology, but I never wore it on my sleeve...I've never even been to a convention.
My affinity has always been for the characters from the Original Series, and it's good to have them back. As a long time fan, I had some worries that I'd have trouble accepting these new versions, but my lack thereof was probably the most pleasant surprise of the whole movie.
J.J. Abrams and Co. did an outstanding job of creating an origin story for those characters, and doing it in a movie that pays homage to what came before, but with an eye toward what's possible in the future.
If you're a Trekker, go see it. If you're not, go see it. You won't be sorry.