Is there a term for someone who moved to the US and started going to college there? I was born and raised elsewhere and moved to the US in my teens. My parents went to college, but not in the US. Is there a term for this? I know that first generation means someone who's parents didn't go to college. I figured maybe there might be a term for this as well?
I'm not aware of a term that just means "someone who moved to the [country name] and is now in college".
If they came to the US specifically to go to school here, they're a foreign student. If they started college in a different country, and then came to the US to do a semester or two at a school that had an exchange program with the college they were going to, and they traveled to the US utilizing that program, they're a foreign exchange student.
But neither of those applies to your described case. Welcome to the US, I hope you like it here.