Well, for right now, we'll be installing Chromium, the development build Google Chrome is based off of.

First, we'll need to add the key for Chromium's Launchpad PPA. Download the attachment chromium-ppa-key.txt and import the key file. (System > Administration > Software Sources, then click on the Authentication tab, and then Import Key File)

Now, open your APT sources file (/etc/apt/sources.list) in your favorite text editor, and add the following repository lines:

deb http://ppa.launchpad.net/chromium-daily/ppa/ubuntu intrepid main
deb-src http://ppa.launchpad.net/chromium-daily/ppa/ubuntu intrepid main

Finally, just run sudo apt-get install chromium-browser to download and install the Chromium package, when it is finished, it will be in your Internet Applications menu!