You will have to use the computer (iTunes) to sync the iPad3 to the iPad1. iTunes has to be the intermediary, here.
If you are talking about putting everything on the new iPad that you have/had on the old, the easiest way to do that is to (1) create a backup of the iPad1 and then (2) "restore from backup" on the iPad3. iTunes will take the backup from the old and put it on the new - like magic!
I did this when I went from an iPad1 to an iPad3 and everything moved over fine (data, passwords, apps, etc). It was virtually the same (well, except I was on a faster iPad... ).