Google's primary objective for Chrome and Android was simply to get people to use the internet more, on the (entirely reasonable) assumption that they'd probably use Google and they would see a lot of AdSense units. They invested heavily in getting better software into the hands of as many users as possible. Of course they harvest a whole bunch of user data, but dragging up the quality of the browsing experience was a far bigger factor IMO.

Would Edge exist if Chrome had never happened? Would Firefox have a fast JS engine and proper sandboxing? What would the non-Apple smartphone market look like without Android? Whether you like Google's business practices or not, they've massively increased our expectations of browser software, in the same way that Starbucks created a world where you can buy a half-decent cappuccino in McDonalds.