I agree with what RomanSunburn said. Online relationships can work out very well. I do not know why people are so turned off by online relationships. I suggest you meet her to take it a step further. Honestly, you shouldn't care about what other people think. You love who you love. You seem to be quite serious about your future too and I hope you'll keep having the same mindset. Your parents may not approve, but they're not the ones with her.
You could send your girlfriend gifts or just set dates every week where you talk to each other for a longer time, when you're free. Keep working a lot for school/work to show your parents you aren't neglecting your life. As stupid as it sounds, follow your heart and not what others think is good for you.