Start with being a good listener. Also, just ask her things about her life, what she likes, her favorite food, how she feels about crime, marriage, politics…anything that relates to both of your lives. And be there when she is in need, not just when things are nice and easy.
Be her friend and everything else will follow in time. Don’t be in a rush, and as far as awkward moments; well there are going to be those no matter what. Don’t fear them so much that you get stuck never talking. Use them as a time to grow and change on her and your part. Be ready to admit when you are wrong, be willing to forgive and be willing to let her go if you must. Never be abusive, mean, trite or ugly with her. And never take on the attitude that she is your property. You are young and there is lots of time to know many people, so be open and honest about yourself too.