Well I'd try it now but the iPad 2 is already set up (I'm actually going to exchange it tomorrow, grandma got the WiFi version when she meant to get the 3G model), can you do the whole "set up from backup" thing after doing a factory reset?
Trying to factory reset now, waiting for iOS 5.0.1 to download...
EDIT: It works!
Backed up my JB iPad 1, and then factory reset the iPad 2, applied the iPad 1 backup to it, and it worked, somewhat. It didn't transfer over any music or videos or apps, but it DID transfer photos and app data. I downloaded Notes Plus and opened it, and bam, it had all my previous notes in there, and even remembered what page I left off on.
The reason it didn't transfer over any music or apps or videos is because my iPad 1 is technically synced to another computer (it brought up that warning message), it's synced to the iTunes on my HDD, and I just got a brand new SSD and thus, I'm using a new Windows installation, and thus, a different iTunes.
So...yeah, I guess it works. Yay.