What you are writing about is called L-O-V-E. some call it infatuation. It is something we all go through. I have been there countless times and probably will be again. am sure most others here have as well. It is a good but, kind of helpless feeling depending on how she reacts to you.
It is a time to be cautious, esp for young people with less life experiences. You will find yourself doing things you would not normally do. Some of those things may be quite stupid. In extreme cases, they can be things that will haunt you the rest of your life.
Be wise, pray about it a lot. Do not do anything without prayer first. It may end up working out and be perfect but, the odds are not with you.
There is nothing wrong with friending her and treating her very well but, do not overdue it. Be mindful of how she reacts to you. Many guys do not. She will give clues, if not outright words, as to how she reacts/recieves you. If things go well and you remain interested, things may develop down the road. If things do not work out, you will feel hurt but, it is an experience that we all go through. I wish you the best.