What should I do with my life? Education-wise(doctor/engineer/programmer?)?

Hi,

I'm 15, soon 16 years old, and I live in Denmark. Education is free in Denmark, and I'm confident in, that I be what I want to, if I want it. My big brother is reading medicine, and I've thought about doing the same thing too for a while. My dad is engineer on a hospital. (He checks if the machines/scanners are working like they should, and if they're not, he detects the malfunctioning part.

So I got the thought of being a game programmer, some years ago. The kind of programming that interests me is VR- Virtual reality. I'd want to be part of something like Oculus Rift, but more complicated, when I grow up. :)

I'd be more than happy to spend my life on developing such machines. Not the candy crush/flappy bird or 2d game, programming.

It sounds kind of like a dream for a nonwise teen, but I'd would love it, if you'd show me the path/where to start. Like I said before in Denmark, education is free and I'm going to pick HTX, High technical education. Thanks.