First make sure iTunes is installed on the new computer. Then, since they're networked, you just need to share the iTunes folder. Unfortunately it's in your "My Documents" folder, which I'm pretty sure you can't share.
You'll probably have to drag it out (and out of Documents And Settings entirely) somewhere else on the drive (not to the desktop either). Once it's shared and it shows up in Network Neighborhood, copy the entire thing to the new computer, and the use it to overwrite the iTunes folder on the new computer.
That will copy all music, playlists, play counts, star ratings, album art, etc.
If you just copy the music files over, without the library files, you'll have to start all over if you've made any playlists.
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