Is it normal that i like this girl, but...

i'm college freshmen, i found this girl in my dorm, also a freshmen, and she became really good friend of mine.she's a really nice girl, doesn't do anything stupid like many other college girls do (she doesn't drink, party, smoke or whatsoever). since we live in the same floor, we see each other a lot. and so we eat lunch and dinner together, study while sharing a box of nachos, and do many others together. recently, i feel like i just like her. i think of her a lot, do things together, and can't wait to see her. but then when we're together talking about things, she talks about how other guys are, which irritates me sometimes. so i sometimes think i shouldn't like her that she talks about other guys and i'd be selfish if i take away her joy of talking about those guys.

but then, i feel like she may like me(just a thought), since sometimes she only invites me to eat or to her room without any friends we hang out with. and she always texts me first, even though she likes to text, i don't really care.. well those aren't that great signs of anything. but i'm just looking for a chance...

is it normal that i feel like i like her, but say to myself i shouldn't like her, then look for a chance that she may like me? i really need some advice :/