Nooo.... it doesnt work like that.
What happens is when you search on search engines, they look through thousands of websites by sending there 'spiders', which when see a word matching to your search they attach themselves to it, if there is further words in your search that you want to see, they look through the pages of that website to see if they match. Once the search is done, it returns the results to you, in the order of how many words matched. [You'd notice that usually the words that you search for, are bolded on the search engine results. It means that these were the words that matched]
You technically aren't a spider. The search engine conducting the search is a spider.
When you click the result [lets say a result was this LI board] it will bring you to this page as an anonymous user, which is the website's doing. Not the search engine.
The search engine points you to an address, when you reach the address you are an anonymous user. [That is if you have your IP masked, otherwise your IP is logged]
Bah.... I'm probably confusing you lot here. [And no I didn't just call you stupid either

kay:]