Create a file in your Views/Shared folder called _GoogleAnalytics.cshtml (using the underscore in the front is a method of indicating a partial view. It has no effect in MVC, it's just a practice I see done a lot in demo's and screen casts.
Put your google analytics code in it. (make sure to put in your own identifier from Google)
<script type="text/javascript">
var _gaq = _gaq || [];
_gaq.push(['_setAccount', 'UA-########-1']);
_gaq.push(['_trackPageview']);
(function() {
var ga = document.createElement('script'); ga.type = 'text/javascript'; ga.async = true;
ga.src = ('https:' == document.location.protocol ? 'https://ssl' : 'http://www') + '.google-analytics.com/ga.js';
var s = document.getElementsByTagName('script')[0]; s.parentNode.insertBefore(ga, s);
})();
</script>
Then in your _Layout.cshtml page add this line (assuming you are using Razor)
@Html.RenderPartial("_GoogleAnalytics")
Edit: Just re-read the question, It just occurred to me what you may be looking for is a means to display just the hit counter using data pulled from Google Analytics API?
Which if that's the case I think I missed that part. I've not done this myself but this may be a good start?
http://code.google.com/apis/analytics/docs/mgmt/mgmtFeedReference.html#profileFeed