"At no cost to Google" seems difficult to substantiate, given that multiple sources indicate that Google is sponsoring FFmpeg both with engineering resources (for codec development) and cold hard cash (delivered to the FFmpeg core team via their consulting outfit[1]).
This is excellent, to be clear. But it's not compatible with the yarn currently being spun of a purely extractive relationship.
Yes, according to the license selected by ffmpeg. And google, according to this license selected by ffmpeg, paid them nothing. And then do some additional work, beneficial to ffmpeg.