If you just want static links (meaning links that don't change every
time you visit your homepage), you can just use basic HTML.
For example, say you wanted to link to CBS's site to be able to check
up on your favorite TV show. You can add a line like this:
<a href="http://www.cbs.com/">CBS</a>
now, you'll see the words "CBS" on your module, and when you click it,
you'll get taken to http://www.cbs.com .
If you need help learning some code, I recommend
http://www.w3schools.com/html/default.asp (for HTML) and
http://www.w3schools.com/js/default.asp (for JavaScript). Then, if you
enjoy it and realize you'd really like to do this as a hobby, go ahead
and grab a good book on learning web programming. It'll help out
tremendously.
Good luck with your module overcast!