Well, since I have some revenus from the ppl who using G search box in my website, so I am interesting about how to track what ppl are looking for when they are using my google search engine in my site. Thanks
You can analize your website logs to find this or you can track your visitators with Google Analytics tool www.google.com/analytics/ Make a account on it and put a code in your webpages and You'll have a good tracker for your website
There is a dropdown box for search queries in your AdSense control panel, shows the most-searched terms, as well as frequency and ranking.
If you want to track all of your users search queries instead of just the top, you have to parse your logs for the info.