[pdxgene]

Not intending to be argumentative -- merely to present a countervailing perspective:

When I was 13, I was incredibly fortunate to land an internship at Marvel Comics in NY. For a teenage boy obsessed with the X-Men, this was like dying and going to heaven. I didn't even care that I was given menial tasks and paid entirely in comic books. I got to meet John Byrne, and that was enough.

The OP sounds like someone with enough interest in programming that an internship would be at least as much about "fun" as it is about "professional development".

I say, if it sounds like fun, go for it. If nothing else, it'll be an opportunity to meet software professionals with as much genuine interest in programming as you have, as well as some who are in the industry for other reasons. Both will be instructive.