Solution 1:

The standard Ubuntu music player, Rhythmbox, is able to do that. Just select all the songs/artists you want to copy from your iPod and drag them to the Music tab under Library (all on the left hand side). Once it's done, you can find them in the folder that's under "music library" (edit > preferences > music). Rhythmbox also syncs. I don't use that myself but that might be even easier.