Chrome is an obvious win for Google.

Rather than paying browser makers for every search, they can make one time payments to convert users to Chrome, and then get the searches for free.

And now with their dominant position they can choke off competing ad networks by removing 3rd party cookies.

Sure, but Google didn't make a second Internet Explorer, they made a new thing.

Maybe the one where they decided not to make a second Internet Explorer and create a different browser? But I doubt they even considered it.