Google stores a record of everything you search for on Google.com if you’re logged into your Google Account. That information is available to Google employees and possibly can become available to corporations that pay for the information, such as the now-defunct Cambridge Analytica as well as to governments that spy on their own citizens (the USA, Great Britain, Canada, China, most Arab countries, and more) or even spy on the citizens of other countries.
You can clear your local browser history, but that won’t clear what’s stored on Google’s servers. While you’ve been able to dig into the Google Account page and find an activity stream of search history, Google is making it a lot easier to delete this history within search itself today.
Details may be found in an article by Tom Warren in TheVerge web site at: http://bit.ly/2EJPYRo.