It does the same thing when I plug in my Mini iPad. In iTunes, it shows the apps on the home screen but there is nothing in the apps column to the left of the home screens. I have another Mac but neither the phone or the Mini have ever been synched to it.
If you make sure that iTunes on the other computer has 'Prevent devices from syncing automatically' checked in Preferences/Devices before you attach the device you'll be be fine. Just Agree to everything, it will ask on your device for an Okay also. It will show up in iTunes.