I don’t think you should DTR (define the relationship). Just have fun. You can go out on dates with her and do couple-type stuff without being official. This way, the whole long distance thing won’t be as much a problem.
Don’t hook up on the first date or define any nonsense. As @rippedfishnets said, enjoy yourselves and if you do ask her out, be straight forward. I’m sure you’re wise enough to know this, but don’t go after a college because she is going there. Good luck and get some cake 
dude, long term relationships don’t work out