Well, it all depends on how you look at it. From the perspective of which is better all hinges upon the expectation factor derived from the browser features that you most desire coupled with the facilitating process. As you explore the various features and possibilities, keep us informed of your progress.
"Better" is a relative term; some may prefer one browser while others prefer another. However, to help you decide, here are some differences between the two.
Google Chrome is supposed to be based on the same rendering engine as Apple's Safari web browser, which many people do indeed say runs better/faster than Internet Explorer. It also performs better on the Acid3 rendering test than Internet Explorer.
In terms of features, Google Chrome has tools to work with web applications in their own windows and even putting shortcuts to those web apps on the computer. Internet Explorer is a more traditional browser which includes a search bar in the toolbar and more program options. In Google Chrome, there is one big box for both web addresses and Google search, as opposed to IE 8 which has two separate boxes for the same purpose. There is also more room to view the page in Google Chrome, as the File, Edit, etc. toolbar has been replaced with just two options: "Page" and "Wrench" menus with all the same commands. The tabs are displayed in the very very top of the screen where normally the title goes, and the status bar on the bottom is smallest and pops up only when needed so as to maximize space. In IE, it is fixed there.