I just entered my google name and password for gmail into the email app for the ipad mini and for youtube app and it has been syncing automatically. You might have to have calendar sync turned on on both devices... Im not sure about that... but it works. Got a notification about a doctor appointment that was only entered on my phone, it showed up on my N7 and mini... (obviously you have to be connected to wifi or cellular to sync...)
Edit: just checked my mini and all my appointments are indeed in the calendar app.
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