You mean analytics of the admin? or the template? If you mean the template/frontend, then that requires either a plugin or a modification to the template itself. This is something we are already doing with Gantry, so i don't think it's needed here.
I mean in instead of showing stats from Joomla in the back end, show stats from GA in the back end.
For example:
* traffic sources breakdown
* bounce rate - the % of visitors going away from your site immediately, after viewing just one page
* average time spent on site
* percentage of new visitors vs. returning visitors
* your top 5 URLs : the pages that draw most of your visitors
* your top 5 referrers : who exactly is sending you the most traffic?