Not really. Google has Android first of all, and apps. So it's incorrect that all google properties are web based.
Second, web apps would work just fine on browsers like Firefox, Safari, and even IExplorer.
Thinking that someone would develop a browser so that their webapps work well is missing the point entirely. If the user trusts you enough to download your application and your engineers can write code that interfaces with the OS, you would just develop an native application. Writing a browser to write your webapps would just be incredibly inefficient, and as a side effect it would help your competitors.
Google developed a javascript engine to parse webpages with javascript, then they realized they basically had a browser so voila, and that they could slap search on the search bar, so voila they published a browser.
Second, web apps would work just fine on browsers like Firefox, Safari, and even IExplorer.
Thinking that someone would develop a browser so that their webapps work well is missing the point entirely. If the user trusts you enough to download your application and your engineers can write code that interfaces with the OS, you would just develop an native application. Writing a browser to write your webapps would just be incredibly inefficient, and as a side effect it would help your competitors.
Google developed a javascript engine to parse webpages with javascript, then they realized they basically had a browser so voila, and that they could slap search on the search bar, so voila they published a browser.