When getting a replacement Seagate hard drive for my Imac through Apple, will they restore my system to it's current state? Or will I have to do it myself though Time Machine? Will Time machine restore all the programs as well?

Apple has determined that certain Seagate 1TB hard drives used in 21.5-inch and 27-inch iMac systems may fail. These systems were sold between October 2009 and July 2011.

Apple or an Apple Authorized Service Provider (AASP) will replace affected hard drives free of charge.

Will this replacement program restore my system to its current state after the new drive is installed? If not, will I have to have all my original disks to re-install all the programs on my current computer, or will Time Machine restore them as well?