- Google indexes torrents more or less incidentally as part of a blind (i.e. covering everything, without preference) spidering of the entire web. The Pirate Bay not only deliberately focuses on indexing torrents, it hosts its own torrent tracker.
- I'm not sure if a takedown notice is even feasible on a blind, constantly updated index of the entire web, but Google does follow 'safe harbor' provisions by honoring takedown requests on YouTube. The Pirate Bay deliberately violates safe harbor provisions by blatantly refusing takedown requests.
Nope, looks like no difference to me!