Your itunes library is really nothing to do with your phone…. you phone just holds a copy of what is held elsewhere – either in your itunes library (“on the computer”), or on the itunes servers if you downloaded it straight onto your phone.
Does the netbook still work? If so, just navigate to the itunes library part of the hard drive and see whats there. They are just files on a hard-drive… same as anything else. to copy your library onto a different computer, you can just move the files using a portable hard drive. you won;t need to re-rip your CDs.
If you have purchased content on your phone, but haven’t yet downloaded these to your computer – you can either download them to your old computer, and then copy them across (as above), or just download them to your new computer once you have installed iTunes.
hopefully that makes sense