Please read the thread above. This is normal. 2 weeks is in no way enough time to make drastic decisions. I can’t count how many posts we see like this here on CC, and how many senior posters tell of their own relationships. If your relationship is meant to last, it will. I have a feeling it’s not going to last as long as you hope if you never socialize with anyone but her.
Put yourself out there. Get involved by volunteering, joining clubs, getting a campus job, becoming active in the campus ministry, or forming/joining study groups. You need to grow and mature a little. You need to accept that it’s time to become an adult and get out of your comfort zone a bit. Three hours is no distance at all. You made this post nearly three hours ago. Plan to see your girlfriend and family once a month, if you must, but focus on meeting people and making connections at college.
Honestly, this post sounds like an admission that you are using your girlfriend as a crutch. Your girlfriend is not responsible for your happiness. You cannot expect her to cure your loneliness. Only you can do that. What happens if you and your girlfriend split up? High school is for high schoolers. You will discover very soon that all of your high school friends have moved on. Go see the counseling center at school. Get involved in things and stay busy. Go to the tutoring center and see your professors to ensure you are on track with your classes. Do the best you can do in college, so that you will be proud of what you have achieved. Good luck.