Picasa Web Albums has an option that lets you to see the detailed visitor stats for your photos. If you go to the Settings page, you can enable "photo tracking". The only thing you need is a Google analytics for tracking the code.
Picasa Web's help center explains that you need to create a new Google Analytics account (not a new Google account) to monitor the Picasa Web Albums photo traffic. After creating the new account, find the account ID that looks like UA-xxxxxxx-y and enter it in the Google Analytics tracking code box from the Picasa Web Albums. "Once the setup is complete, just sign in to Google Analytics and then click View reports to see visitor stats for your photos. It can take up to 24 hours for the Analytics to detect your tracking code."
A similar option is available for the Google Docs, but only for the published documents. While this feature is useful, it's not very easy to use and it's not properly integrated with the Google Docs and the Picasa Web. Showing simple stats, like the number of the views, the top search queries and the referring websites, in a special section of the Google Docs and Picasa Web would be a much better idea.