In Assassin’s Creed: Brotherhood for the PS3, Xbox 360, and PC, you can unlock the Sword of Altair for your character to use.
To unlock the Sword of Altair, you’ll need to complete all of the Assassin’s Guild challenges. Once you do, it will be unlocked in Ezio’s Hideout.
Check out my other guide for a full list of unlockable guild rewards.