Is is possible? What is the easiest (most hassle-free) way of accomplishing this?
To recover your entire system:
1) Connect your Time Machine backup disk to your computer.
If you’re restoring your system because of a problem with your startup disk, make sure the disk has been repaired or replaced.
2) Insert your Mac OS X Install disk, and double-click the Install Mac OS X icon.
3) In the Installer, choose Utilities > Restore System from Backup.
4) In the Restore Your System dialog, click Continue.
5) Select your Time Machine backup volume.
6) Select the Time Machine backup you want to restore.
7) Follow the onscreen instructions.
The easiest way would be to start 'Migration Assistant' under Applications/Utilities and then select Time Machine (of course, having it already mounted). This will create a new account with all your entire working data and configuration (on any mac).
In 10.7 and later you can start up from the recovery system and choose Restore From Time Machine Backup.
Or if the backup was made on a different Mac, Apple recommends using Migration Assistant. See Mac Basics: Time Machine:
protected by Community♦ Apr 26 '13 at 16:59
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