If you are looking for a web browser to surf the web faster, then I suggest that you try QupZilla, which is a lightweight and fast QtWebKit web browser available for many platforms.
QupZilla comes with all basic functions that you can find in other popular web browsers including bookmarks, plugins, history, tabbed navigation, manage RSS feeds, block Flash & Ads, etc. This project is intended mainly for users who seek stability and speed while browsing web pages.
You can install QupZilla under Ubuntu 11.10/12.04 or any older Ubuntu version with these commands:
sudo add-apt-repository ppa:nowrep/qupzilla
sudo apt-get update
sudo apt-get install qupzilla
You can then launch the QupZilla web browser from the Unity Dash:
For more information about this project, check this page.