Midori is the default web browser in Elementary OS Luna. But there are other options. For Google Chrome users who just migrated to Elementary OS this tutorial will guide you through,
For Ubuntu users, this is just the same and should be pretty easy with you. Since the command line is power I will use it first:
Download .deb package.
For 32 Bit OS:
$ wget https://dl.google.com/linux/direct/google-chrome-stable_current_i386.deb
For 64 Bits OS:
$ wget https://dl.google.com/linux/direct/google-chrome-stable_current_amd64.deb
After download run the command in the .deb directory for both 32 and 64 bits OS to install Google Chrome. (Sudo access required)
$ sudo dpkg -i google-chrome-stable_current_*.deb
Selecting previously unselected package google-chrome-stable. Reading database ... 119823 files and directories currently installed.) Unpacking google-chrome-stable (from google-chrome-stable_current_amd64.deb) ... Setting up google-chrome-stable (30.0.1599.114-1) ... Processing triggers for man-db ... Processing triggers for desktop-file-utils ... Processing triggers for bamfdaemon ... Rebuilding /usr/share/applications/bamf.index... Processing triggers for gnome-menus ...
You can install from software center after downloading the .deb, by opening (double-clicking) it.
You can now launch Chrome from application menu