<human>: Can you succinctly summarize the text in 1-3 sentences?

I'm a grad student at university. During my undergraduate years, I was in an unhealthy relationship (she pulled me away from making any friends). I didn't have any friends outside my classes besides my roommate and his girlfriend. Now that they've all graduated, I've been trying to make some new friends and potentially find a girlfriend, because I want a social life.

I met this girl this year, and we seem to have a bit in common. We went on a date, and then had a lunch date, where she informed me that she doesn't think we should date right now, and we should just be friends, but that she would let me know if anything changed. That brings me to my question.

I don't mind that we aren't dating. In fact, I was surprised that I wasn't more bothered! However, I do want to hang out with her. We have been getting lunch together, and we hang out at church as well. I don't want her to think I'm disrespecting her decision by asking her to do things that people do in my town - go to parks, go skating, go to the movies, go to bars, etc. But I want to do those things with her because we get along well and I'm interested in her as a friend (although I would not be opposed to that changing).

How can I ask her to do things without sounding like I'm trying to ask her on a date? Should I just be clear about it and say, "I'm not asking you on a date, but I want to hang out with you"? I'm really not sure what's appropriate, or if there is an appropriate answer, because I haven't had much social interaction of any kind in the past few years. I don't even know if a guy and a girl who aren't dating might go out together. That's how lost I am :\
<bot>: Girl doesn't want to date me, wants to be friends, which is fine. How can I ask her to hang out without her thinking I'm disrespecting her desires? Thank you for your help!