Yep.
Install iTunes, leave the iPod unplugged for now.
Load iTunes, insert your CD, it will
probably ask if you want to rip it - answer yes.
Repeat the process for all CDs.
Plug in the iPod and it should sync the tunes to the iPod (probably).
In practice it can be more complicated than that, you can set certain discs/tracks not to sync, change the way things are ripped, etc. In reality this will (hopefully) accomplish what you want in the short term, but if you're going to continue to do this for your friend then it would be worth at least one of you learing how to use iTunes properly