An agent is a program that keeps your keys in memory so that you only need to unlock them once, instead of every time. ssh-agent does this for SSH keys.
The usual methods for starting ssh-agent are:
eval `ssh-agent` – this runs the agent in background, and sets the apropriate environment variables for the current shell instance.
(ssh-agent, when started with no arguments, outputs commands to be interpreted by your shell.)
exec ssh-agent bash – starts a new instance of the bash shell, replacing the current one.
(With one or more arguments, ssh-agent doesn't output anything, but starts the specified command: in this case, the bash shell, but technically it could be anything.)
The second method is sometimes preferred, since it automatically kills ssh-agent when you close the terminal window. (When starting it with eval, the agent would remain running, but inaccessible.)
However, this only starts an empty agent. To actually make it useful, you need to use ssh-add, which unlocks your keys (usually ~/.ssh/id_*) and loads them into the agent, making them accessible to ssh or sftp connections.