Just as you can with an iPhone, you can use iTunes to back up your old iPad, then restore that backup on your new iPad.
Click on the iPad icon.
Click Back Up Now under Manually Back Up and Restore. Wait for the backup to complete.
Disconnect your old iPad.
Connect your new iPad to the same Mac or PC that you used to back up your old iPad.
Click the iPad icon in iTunes.
Choose the backup you want to use.
Tap Continue on your new iPad.
If you're coming from an Android tablet or Microsoft Surface, you can still move some of your data, though you can't transfer apps, for instance.