You can search while signed out of your Google account, but they can still save your history by using browser cookies. Refer to Google's help pages to learn how to delete individual items, delete all of your past activity, and how to stop saving your history in the future. If you scroll down on the same page, you can find options for managing your activity for other Google services, such as location history or YouTube viewing.

There you can un-check the box for saving your history for websites and apps. To find the page where you can control the tracking of your activity, look in the left sidebar and select 'Activity Controls.' You can also turn off the saving of your future activity. If you don't want Google to keep a record of the sites you visit, you can delete individual items or all of your search history.

It's useful for finding sites you've visited but can't remember. You (and Google) are the only ones who can view this page.

This will bring you to your 'Search Activity' Page in Google. If you would like to see a history of the pages you've visited, choose 'Search activity' in the Settings Menu.

No search bar on tor browser websites