Need help creating a Links page

I just installed WP for the first time and am struggling with a few simple concepts.

There is a Links manager that appears to have something to do with Blogroll which I guess is a “widget” that can be put in a sidebar.

But I created a separate Links page and I’d like to display all my links arranged by categories. I’m just talking about links to favorite sites (not a sitemap of my internal links).

Can someone please expain to me exactly how to do this? Many thanks!