I'm not sure you'll avoid updates by not being connected to Google. That may be controlled by your carrier.
You might be more interested in learning how to change various settings to avoid Google tracking you. There's one setting, off by default, that keeps track of every place you go, but even with that off, other services might track you. The now defunct Latitude comes to mind. It doesn't bother me, so I don't have a source, but I would assume somewhere there's a webpage that describes how to turn off all the tracking.