Be yourself, go to the library and read a book about healthy relationships, there's a ton of information about this and they should have taught you something in high school about healthy relationships and what you can do without getting too involved. You should do things you both like, communicate with each other and you both should never make the other one do things they don't wanna do. As long as you have a parent or friend you can trust and talk to them about your relationship, that will be great because if something wrong is going on, chances are the person who truly lovesyou (parent, friend) will tell you there's something wrong.
Healthy things without being sexually active is going to the movies, talking for a long time on the phone, reading a book together, playing board games together, going for a walk, playing a sport together, volunteering together, etc.
Good luck!