Here is the screenshot where I've explained what I want.

This is the default behavior if you use the built-in about:home page.

You can look at this extension:

• Custom New Tab: https://addons.mozilla.org/firefox/addon/custom-new-tab/

It is not what I actually want to do. When I'm creating new tab and starting to type something, text inserts to the search box. I need to enter text right into the address bar instead of search box. Although, I've already changed my browser, so this problem is not actual.

You can set the new tab page via the browser.newtab.url pref on the about:config page to about:blank or another page that doesn't have a search bar and set the home page to a search page of your choice.

You can middle-click the Home button on the Navigation Toolbar to open the home page in a new tab.