Of course, you must have an iCloud backup from your prior iPad to be able to do the restore! So the key to a simple set up occurs on the old device, not the new one - see the prior post on backing up to iCloud as you prepare your iPad for a transfer of ownership.
With a good iCloud backup your apps, data and settings all get restored to your new iPad. Even your wallpaper and the positioning of your icons on your home screens are replicated to your new device!
The most important part comes right at the beginning after turning on your new iPad. You will see this screen:
You must select the "Restore from iCloud Backup" option. If you're not alert, it's easy to choose the "Set up As New IPad", which sounds intuitive, but will result in a fresh start and won't restore your apps, data and settings from your old iPad. Just think: "Restore, Restore, Restore" amidst all the excitement of turning on your new device!
A quick first part of the restore process restores your settings and icons. Next, you'll be prompted to plug-in your iPad as it moves to the heavy lifting of the restore process: your apps and data. This can take 30 minutes or more so it's a good idea.
The restore will then commence, and it's fun to watch as it proceeds. Apps/folders that haven't been restored yet will be a darkened color, and will return to their normal bright look once restored. As the restoral is in progress for a given app/folder, you'll see a circle icon and can watch the progress as it proceeds (note the Entertainment and Finance folders in progress on the screenshot).
You will in some cases be prompted for password, for example when restoring secured iTunes songs. This was the only part of the restoral process that was a bit confusing. At some point I was prompted to put in passwords for my sons' Apple IDs (which I couldn't do since I didn't know the passwords). In these cases I clicked Cancel and the restoral preceded.
Later however, when I would turn on my iPad, again it would still prompt for these passwords. Going into Settings, my iPad had "not completed" the restoral (in its mind) with this "to do" still open. The problem: the new iPad would not do further iCloud backups until the restoral was "done". So at that point my new iPad was vulnerable if something happened. After I was able to track my sons down and get them to enter their passwords I was good, and backups began to commence as normal.
Selling /Gifting Your iPad? How to Prepare