Harvard (like any Ivy League) is not going to be easy getting in, however, if you're confident and prepared to live in America, I say go for it! I didn't apply to Harvard, but hopefully this will give you some insight!
I just finished applying to colleges this month and here's how the process went:
1st I took the SAT & ACT (I'm not sure if you'll have to take it since you'd be studying abroad). I began prepping at 13, and took it at officially at 17.
2nd I would submit my recommendation letters, transcript, class rank, volunteer hours, and extra curriculars (HUGE!!). Also my SAT or ACT score.
3rd Fill out the application and write the essays
4th Go for an interview to the school (if invited)
5th Wait for a response!
Overall, the process is easy as long as you have proper scores and rankings. Also, those extra curriculars and volunteer hours are CRUCIAL!! My best friend had 500+ and I had about 300. It's insane.
Good luck!