What type of program would this be?

Hi! Is there a way to write some code that would gather information from a website for me?

Care.com only allows me to search a 50-mile radius per zip-code. I want to search potential clients across the US meeting specific criteria (hours, pay, etc.). I want it to search all the zip codes throughout the US. Maybe the code I create is something like, "if no more pages contain X hours, search new zip code." I know that's really bad, but it's also the jist.

What would this type of code be called, and what would it entail?

I don't care how complicated it is. I'm just asking these basic Qs.