Check out Clicky web stats. After you register, you add a piece of code to the bottom of your page and start collecting your stats. It’s really easy to set up, and the stats you get in return are awesome. You can see your stats by visitor, search term, page, etc. It is very clearly shown, and not as hard to figure out as some of the other webstats programs which really bog you down in data that you don’t need. I hate to say it, but it looks a lot nicer than Google Analytics. It is currently free – although I don’t see how they turn a profit at this point (it is in beta still) so I would look for either a pay service in the future, or maybe ad supported.
Check it out and see what you think! This stats service is great for simple blogs and other sites which do not require complicated ad and click tracking.