Meeting for a week, what's next?

I'm really inexperienced as this is the first guy I've ever actually spent alone time with in this context. We know each other from college and have been emailing for a week, then we just went for a casual walk. A week later we met up again and went to a park, it all felt really easy and laid back and casual. We just got along really well and talked about interests. I accompanied him to his home, we made something to eat and eventually I stayed for the night. Somehow I ended up with him the following night too. We went for another nature walk two days later. It was that night he started kissing me, I told him I hadn't before, he was fine about it. It was a little awkward at first but I think you could say we got past that point. The following night he invited me to come with him to a friend's movie night. We weren't so affectionate in "public" but we lay next to each other and he put his arm around me even though his friends were around. I didn't plan to come home with him that night but since we got a ride home it was easier that way. I stayed until next afternoon, we actually did something for college together in between "fun" stuff. Nothing has happened besides said kissing since he knows about my past and he said he isn't that experienced either. But now I have no idea how to keep this up or if we moved to fast.....I do not want this to end but I really don't know much about what to do next. I hope you can help me a little bit.