Any crypto exchange, service, or provider, partnering with Google should be a massive red flag to steer well clear of that particular service. Google are primary a data harvesting company, and that is how they make all their money. There is absolutely zero chance that Google will not use such a partnership to gain access to your data, link your crypto wallets/transactions/purchases to your real identity, and then monetize that data in any way they can, including selling it to third parties, advertisers, governments, and anyone else who will pay for it.
I honestly wouldn't be surprised if we see Google move in to the blockchain analytics game in the future. It has proven pretty lucrative for Coinbase, with multiple multi-million dollar contracts coming from a variety of government agencies and other third parties. Just think how much extra data Google have on you which they could sell to the same third parties.