Internet Exploder as we like to call it in the Linux crowd, is Microsoft's attempt to get people to stop using the desktop interface to the computer and get into the web when they turn a machine on. They tried to do this in the late 90s, and the european software union slammed them with a lawsuit claiming that it was anti-trust law not to have that browser so closely coupled to the operating system. But Microsoft would have been slammed sooner or later for something as so many people were upset with their style of software sales that tended to send competitors plowing into the ground (example: if they couldn't buy your company, they'd buy your competitor, and out-market your product, software developers feared microsoft).
Chrome is Google's attempt to have a more standard browser with a minimal interface, making it easier for people to access the Internet without getting distracted my interface elements that just get in the way. It is also more interactive than Firefox, which tends to look like a cyborg after you've added all the add-ons.
There is another web browser, few know about, other than mac users, and that is the safari browser. The reason you might go with Safari is if you wanted to have access to better looking fonts, Safari supports a part of the HTML markup that permits a number of styled fonts to be used. And it's fitting that fonts are its contribution because fonts are what Steve Jobs (RIP) prided himself for having added to the Macintosh line. If you happen to use an iPad I'd suggest the "Atomic Web" app and the "Photon" web browser app. Photon has a special "lightening" mode that permits you to watch flash videos and navigate street-view google maps, but it requires you have an Internet connection (it uses remoting-tricks to access an amazon EC2 residing server-client to run the flash content then streams the video back to the iPad. Surprisingly, it works remarkably well otherwise I wouldn't suggest it)..