If you don't really want to dig in and learn everything there is to learn (and there is a great deal!), then, yes, Ubuntu might be a good choice: it's fully GUI, easy to install, pretty much self-configures, and keeps the inner workings fairly well hidden. And, most importantly, to all reports it works just fine for lots and lots of people who want Linux but don't want to become system administrators in the process (and there's nothing wrong with that!).
All distributions that I know of include one or more desktop managers (the GUI for a user); most typically, KDE. That gives you the GUI that you work with all the time (there are other desktop managers, GNOME among them, and you can usually try different ones included with the distribution to find one you like).
There are many distributions and all of them have their advantages and disadvantages and many are free (when you pay for a distribution, you're getting CD-ROM's or DVD's rather than downloading and burning your own) -- $30 to $50 or so pretty much covers the cost of the media, manual and perhaps some form of support if you have a problem). Personally, I prefer Slackware because I find it the most useful for me (it doesn't "do things" for you [or is that "to you?"] and I can configure it to do what I want when I want and stay out of my way); Slackware may not be the right distribution for you but it wouldn't hurt to look at it, too.
Other than that, it's easy to download, burn a CD and try as many distributions as you wish -- and you might find the perfect fit.
Hope this helps some.