Retrievng My Passport Essential 500gb Backup Files

Dear Forum Members:

My Laptop running XP Pro Srvc Pack 2 failed. The screen failed on my laptop and I am having a lot of trouble getting files from it. Occasionally, when the sunlight is just right - I can see the screen & download files to a memory key.

Question: Since I ran a Complete Backup of my old laptop system using My WD Passport Essential - I would like to try to transfer my old laptop Backup files to my Desktop computer running XP Pro. Once I get my WD PAssport Essential up and running on my Desktop Computer, how is possible to drill down into the directories and transfer the backed-up files from my old Laptop to my Desktop?

Please help! Thanks! KC