There's this cute girl...does she like me?

It looks like she likes you! She sounds shy thus won't accept the fact that she has the hots for you, but don't just go and ask her out. Look for signs; does she blush when you're around, does she laugh at EVERY joke you crack (lame ones, too), does she look at you most of the time in class when you're not looking? If yes, then go ask her out!