Did Gemini just show me how it "thinks"?

This subreddit only lets me post one photo... Asked Gemini how much it'd cost to rent a car from enterprise and it started saying all this. I started being able to follow along and realized it was talking to itself about my prompt and how to fetch the answer. I pulled into a parking lot and read through everything... Sure enough, it was talking to itself about my prompt. After it's little spiel its reply was normal.

Yesterday a weird thing happened too where halfway through its answer it stopped, said "wait, let me start over", and then proceeded to give me a slightly altered answer.