One way to show a unique description head for each category is to insert it manually in a category template file like this:

<h1><?php echo single_cat_title(); ?></h1>

<p>custom content goes here</p>

But if you populate the category descriptions via the admin panel, that content can be displayed like this:

<h1><?php echo single_cat_title(); ?></h1>

<p> <?php echo category_description( $category_id ); ?> </p>

** the description will display in whatever style or heading specified, but the only tags recognized seem to be <strong></strong> OR <em></em>

line breaks in the description are accepted

The big advantage in using the description is to allow the site owner to control category headings without having to touch any of the code!
This also means that there is less of a reason for unique category templates…. as this code can just as easily can be inserted in the archive.php file!