Has anyone on here payed for a private college with a G.I. bill. I was thinking about applying to harvard!!!

I wanna apply to Harvard as my reach school, but I'm scared that if I do make it, I won't be able to pay for it. I know Harvard is part of the Yellow Ribbon program, and so is Yale, but my chances of getting into Harvard are higher than Yale. Just wondering what the process is like. Thank you!