Not true at all. Not every web site has Google ads / trackers installed, when you visit those Google can't track you unless you are using Chrome. If you block (whether via the browser, add ons or DNS hackery) Google's trackers then they might not be able to track you - or at least track you less well - using Firefox/Edge.
If you use Chrome, they get a list of every site you visited, how long you were there, what you clicked on, etc. There's no comparison between the data they get from Chrome vs other browsers.