The WiFi (2nd generation) has one, but it's not official and not really userfriendly - you have to change a configuration file to point it to a new site.
(It's used to buy books on the device, the store is a website.
More here:
https://www.mobileread.com/forums/sho...hlight=browser
I doubt the original has a browser - no way to connect to the internet, I think?