<human>: Hey guys, first off I have to say that when it comes to the opposite sex, I'm pretty inexperienced and have dealt with a lot of friend-zoning and rejection in the past. I'm somewhat introverted and living in such a small town makes it pretty damn tough to meet new people.

Anyways,  I'm a 21 year old guy currently attending the local college here. For the past 8 months or so I've been frequenting our local fitness center after class (it helps me blow off steam.) One day I happened to notice a girl who works at the front desk who really caught my eye. Other than the general friendly greeting when I arrive and depart, I was never quite sure how to engage in some form of casual conversation. Giving it much thought (and waiting until she was working alone,) I was finally able to work up enough courage to introduce myself. She did the same and we made some friendly small-talk for a few minutes. Since then, however, Ive kind of been at a loss on where to go from here. I barely know this girl, but ever since I approached her it seems like she goes out of her way to give me a slightly more friendly greeting than before. she attends the same college and we exchange polite "hello's" when we pass each other by as well. 

This predicament may sound lame to a lot of you guys, but like i said, I have a tough time with this stuff. Ultimately, id like to ask her out for coffee or something, but I think a little more conversation would be appropriate. maybe not, since I don't have much of a chance to make conversation anyways. I'm not sure if she's interested or just being nice since she's on the clock. I dont want to be creepy, so Ive already ruled out adding her on a social networking site. 

I need advice, Reddit! What should I say next? Should I even go for it?

Can you summarize the given text in a few sentences?
<bot>: Attracted to a girl who works at a place I visit frequently,need advice on how to make more conversation and eventually ask out