++ [ originally posted by BigIzz ] ++
No you can't. The belief is record companies wouldn't have been happy if you were easily able to take songs off an iPod, so they have made it so you can't (easily) do it. To get technical, all of the songs on the iPod are put in one of 19 hidden folders and named in such a way you can't identify the songs. The iPod uses a database to identify and play these songs. You could in theory take the songs off from Windows Explorer, but they would be pretty meaningless because they aren't tagged and you wouldn't have any idea what is what. A few people have made software that can do this as well, but I don't think any of the good ones are free.
Now, there is a workaround for your problem. Since you can use the iPod as a removable hard drive, you can open it in My Computer, copy the physical mp3 files in Windows Explorer from the folder they are on in your computer. It will take a couple of minutes. Then you can take the iPod to your other computer, open it the same way in My Computer and simply copy the files from the iPod drive to the other computer. (The Ipod won't be able to play these files though, because they aren't a part of the database. The software won't recgonize them and you can in fact do these sort of transfers with any files because the iPod works like a hard drive. Probably a good idea to delete them once you transfer them so they aren't taking up space on the iPod for no reason).
You could do what I do, if your computers are networked. iTunes makes playing songs across a network very easy. I don't think you can burn CDs across a network though, so this might not be a solution for you.
And Swag is right, there are other good options besides the iPod that might be better for some peoples needs. (I hate the white ear buds myself, I have a nice pair of Sennhiser buds myself. In fact I never show my iPod off to anyone, try to be as inconspicious as possible with it and probably like 10 people even know I have one. I never understood the point in showing off something like that. The onyl reason I have an iPod is because I think it is the best mp3 player, at least for me, and it was a gift.)