The first one .

Hallo Ramin.. It's depending on your purpose to use that word . When you use "to" in your sentence, it means you have a destination. You are too young to go there .. means you prohibit someone to have a destination in there. "for" and "to" can be used together when you want to say about function example Internet connection is used to connect all of the people in the world. Internet connection is used for connecting all of the people in the world. That's all what i've got.

"You are too young to go there" is the correct one! The other option sounds a bit awkward! Hope that helps!