A few of the Google apps crashed when I used them sometimes, which isn't ideal, although I've also had similar problems with the new 64-bit apps on the latest tablet instability seems to be doing the rounds., so slight
Personally I find iPads slightly easier to get started on -- with Android my sense is that new users will find the apps that await you when you turn it on confusing. Plus, with Apple giving away free copies of Pages, Keynote, Numbers, iMovie and Garageband with every new iPad (to download if you want them), there's slightly more with Apple to be getting on with for newbies. But the gap is much smaller than it used to be, especially if you have a Google account you use regularly.
There's no physical home button on the Nexus, which I found annoying. Instead the home and back keys are soft-keys underneath the screen. But depending on which way round you hold the screen, they change position -- that stumped me for a few minutes until I worked out what was happening.
Battery life is as good on the Nexus 7 as all the other best tablets. Google says you'll get nine hours of "active use" out of it, which reflects what it was like when I used it.