Sorry, newbie question here, but how is this done?

grab the youtube.c om "embed code"

.

There are many ways to add YouTube into it. From simple video embeds to our full-powered APIs, you can integrate video at all levels of technical expertise. Bringing YouTube to your site is more than just adding some of the millions of videos available on YouTube. It keeps your visitors interested and allows self-expression and interaction with one of their favorite services. And it brings your site, blog, or page into the YouTube video community - an international network of users, creators, and sites connected through the Web's largest collection of online videos.

Yes, pick the embedded code & paste it in your page.

You might want to look at the plug-in extension called Allvideos. It's a dandy for stuff like that. Go to the extensions area of the joomla site and you'll find a link for it there.