Yes you can get pages out of Pages.
When in Pages just make sure you are in Portrait mode and the toolbar shows up at the top. Tap My Documents. At the bottom you will see the icon with a box and an arrow coming out of the center of the box. Tap it to export to various document formats like PDF, Word, Pages.
Then next time you sync, go to the Apps tab in the screen of info about your device. At the bottom you will see the box where you can click on Pages and the files you have exported will be listed on the right. Click the file you want to save and choose Save To at the bottom.
Some have reported problems with PDF. My only problem was a warning that it didn't have the fonts I needed but it converted them fine.
By the way, this is the same place you add documents to Pages, Keynote or Numbers or other apps that take advantage of this interface like iBooks with epub files.