Lol. You swooped right into 'hey you watched any movies lately'...to a girl you just met. No mystery, no intrigue, nothing. Then you proceed to sound like a 12 year old girl 'ewww matt damon'. Lol. Dude.
I'm not about games, or pretending to be someone you're not, or whatever, and let's be fair, she probably has already decided at least to some degree what she thinks of you - but there's at least some things you can do to increase your odds.
I wouldn't jump straight into asking her out for a movie right after talking about movies. You need to build some rapport, at least get a feel that she is mildly curious by you, see her on campus a few times first maybe...keep the 'hey what movies do you like' to an absolute minimum, if at all.
Personally I think she's not a fan and just gave you the number out of pure politeness, but hey, if you wanna pursue this, go the opposite direction.