This drive is an IDE type and not SATA, which means you will need an adapter like this one
so you can plug a data cable and provide power. You can then connect the drive to a regular desktop PC.
You can set the jumper on the drive to make it a slave and hook it up on the same IDE cable as your primary hard drive, but the jumpers on the laptop drives are teeny little ones and I personally find them hard to deal with. What I do is unplug the data cable to the optical drives which are on the second IDE channel, then plug the laptop drive cable there. Then the drive can remain jumpered as master.
Another option is not to bother opening the PC at all, but to get an external hard drive case like this
. Then you could just plug the drive in on a USB port and copy your data, and you'd have an external drive available for future use.
Good luck with the recovery, and thanks for using Fixya!