This isn't available through the Flash Catalyst UI, though it is possible if you take your project into Flash Builder.
Any extra beginner hints here Nate, I know you guys are mad busy but this one has been a white whale for a n00b coder!
There are two ways to do this:
1. If you are developing an AIR application, you can use the HTML component to load a page inside AIR's HTML engine. Here's a post on how to do that: http://blog.everythingflex.com/2008/02/25/air-html-control/
2. If you are developing a browser application, you can overlay an HTML iframe on top of your Flash movie. You do this in HTML code. I've never actually done it, but here's a thread about it: http://codingforums.com/showthread.php?t=95109