Accounts Help

This is how your web and search history are different:

Your web history is accessible only by signing in to your Google Account. It allows you to view and search across webpages you've visited in the past, find trends on your web activity, and get more personalized search results based on what you've searched for and which sites you've visited. Learn more

Your search history is the list of previous Google searches that are stored by your browser. Learn how to clear your search history.