Sync iPhone 5 to ipad.

You can't directly. You sync content via iTunes. Transfer the content from the phone into iTunes and then sync the iPad with iTunes.

Transfer purchases.

http://support.apple.com/kb/HT1848

Or you can download your purchases content to the iPad. You can read about it here.

You can also use automatic downloads on both devices so that whatever you download to one device downloads to the other device.

Settings>iTunes & App Stores>Automatic Downloads>Apps, Music, Books>On.