Google Chrome is just one of many web browsers.
On a Mac, by default, you'd have Apple's Safari browser, but you can also try Opera, Firefox, and Chrome (and lots more, no doubt).
There's the Browser Watch website for news on web browsers.
Unfortunately, Pennies, it looks as if Google Chrome might not {yet} have a version for the Mac (or the web page contents could be tailored to show a version depending on what you are using, so do visit and please report back if there is a version for OSX).
I can certainly recommend Firefox and Opera as alternative browsers, if Chrome is not available. Firefox has lots of "add-ons" to allow a user to tailor it to do extra things - I won't bore with technical examples, but there are options to block adverts, change the appearance, and so on.
Google is working on its own operating system for PCs to be an alternative to Linux and Windows, so they might limit how much they do with the Chrome browser for other systems, in future.
(Similarly, Apple probably puts more effort into new versions of software for Mac users, and things may work more smoothly, simply because they probably dislike spreading their resources to cover the mass market Windows machines, when they earn more from purchases of Apple hardware.)