Q: is it possible to transfer music from my ipod shuffle to my ipad 2 through my computer?

if the music that is on your shuffle is in your iTunes,

1. just connect your iPad to your computer (using my old iPod for an example)

2. then go to music under the settings section

then push sync music and you can sync your entire music library or if you check selected playlist, music...etc... you can pick what songs you want.