Does google actually keep an entire search history tied to people?

I stumbled upon the Parkland death penalty hearing and they are displaying all the Google searches that the guy made. Apparently not from his ISP, but from Google, because he was signed in on gmail while making the searches. No sympathy for the nut job, but does that mean Google has a record of all the searches I ever made while signed in on Gmail. That is too much in my opinion. I have also googled things I'd be embarrassed …

google history people privacy search