If it is only for one course, then just place on section zero (= always visible)  a resource, choose weblink in popup window, give it a new reference name and fill in the weblink on the second sheet.
(uncheck all the show bar options: your students will not wander to other sites so easy..)

If it are links for all courses AND you have access to the php-code, you could go to ../moodle/course/format/weeks/ and edit format.php

Find a place in the left column and type:

print_side_block_start( "SEARCH ENGINES ", 210,"");
?>

 <div align="left"><a href="type here your weblink"
 xxx"window.open('type here your weblink','','width=800,height=600');
  return false;"><img src="type here the weblocation of an image" width=30 border=0> HSL</a>
</div>

<?php

  print_side_block_end();
  print_spacer(1, 120, true);

Make as many div sections as you wish. And do the same for other formats.

I did the same on the front-page in index.php (see image)

A longer version is:

<div align="left"><img src="here your image location" width=30>&nbsp;
<A HREF="http://rubistar.4teachers.org/index.php"
  TARGET="rubistar.4teachers.org/index.php"
 xxx"window.open('http://rubistar.4teachers.org/index.php','','width=720,height=540');
  return false;">Rubistart</A></div>

Allyson,

If I am following you correctly, you would like to see links to various search engines appear on the course homepage.  A simple way to do this would be to use the Label module in the first Topic/Weekly category at the top.  Label is a selection available from the Add list that appears when you are in course editing mode (Turn editing on button).  When you select this module, it simply opens up the HTML editor just as you see when making a Forum post.  For each example you add to your list of search engines, apply a URL link (chain link icon in toolbar). For example:

Search Engines
Google
Yahoo

Hope this is of some help,
Bryan