Try this site to get answers about Time Machine which is the software that will restore the backup from Time Capsule.
You need to use either Setup Assistant or Migration Assistant to transfer your data.
However . . . the Mac you transfer to must be using the same or newer "major version" of OSX -- if the last backup was made on Lion, you cannot transfer to a Mac running Snow Leopard or earlier.
See How do I set up a new Mac from an old one, its backups, or a PC? for an explanation of the difference between Setup Assistant and Migration Assistant, and links to detailed instructions.