Hey Ed,
Have you heard of HeartBeatApp? It's an Objective-C plugin that provides fine-tuned metric tracking specifically for iPhone applications. Check it out here:
http://www.heartbeatapp.com/
I'm using it in two applications now, and in my opinion it is the best "plug-and-play" style solution for tracking app usage and metrics.
If you are set on integrating Google Analytics, you'll need to run their JavaScript in an HTML page somewhere in your app. My approach would be to place a secret/hidden UIWebView on each app page screen, and programmatically load a static HTML page just for tracking in the background on each screen load.
Hope that helps.
-Mark