need help understanding SEO and websites

[taylor13579]

I guess my question is this. When a phrase is typed into google, like "most homeruns ever / babe ruth" and then I click on a site that looks like something I am looking for, Does that site get to see that I typed "most homeruns ever / babe ruth"? I am also wondering if the website i visit gets to see the last pages i visited as well for "behavior analysis". Why would it be any of their business if I was shopping for lawn mowers and then looking at the weather before doing the Google search.