You’ll notice that this site has a few different sections or categories of content. The main frontpage blog posts, the (Rolling Stone quality) Ryan Adams reviews, seasonal exhibits, etc… Of course you don’t want to have them all look the same, and of course you don’t have to.
As per the Codex page, this is a pretty easy thing to do. My exhibits category, for example, simply has a new template file: category-exhibits.php. Similarly, Ryan Adams gets his own file too: category-ryan-adams.php.
After you’ve made a new template file, just copy the contents one of your other templates (index.php or page.php) and make changes as you need to. WordPress happily takes care of the rest.