The search tool at perldoc.com gave me a few links, but the one that seemed most related was http://www.perldoc.com/perl5.8.0/lib/LWP/Simple.html, and that didn't contain the information that I wanted.

That is in fact the documentation on LWP::Simple

The API is *very* simplistic on purpose, it's designed with the hope that after reading that POD, you'll understand how to download simple WWW pages.

For any functionality/questions beyond that, you should start reading all of the docs in the See Also section.