I've used Joomla for a few years now, you can see some of the results in my sig if interested, but I'm not connected with Lunarpages except as a customer myself, just like you.
By pages of text, I'm going to assume you mean the textual content of your (HTML?) website, if so, the actual storage of these content pages are in the MySQL database you use for your Joomla site.
Unless you feel like writing some SQL code to take your existing content and store it into the Joomla database, and I don't have the first clue on how you would do that, then yep, cut and paste is the only answer I know of.
There may be a Joomla extension (check joomla.org and look for the extension link at the top of the page) but how intelligent that would be.......

A couple of sites already existed as HTML pages, with several hundreds of pages, and the only way to copy them over, was to cut and paste, you can soon get into the knack of mark all, copy, change window, paste. I speak from experience!
The only snag being, that if you have images in your content, you need to transfer the images themselves to the images/stories/whatever directories and re-point all image links to the new paths. That can take more time than the actual cut and paste. Again, the voice of experience!