Install my book essential to a new computer

Old computer hard drive failed. Installing WD My Book Essential to new computer. New computer has driver and found Ext. Drive. How do I get the software to access the WD external Drive so that I can down load my back up files to the new computer? 

That depends on what backup software you used. Try to see if you can find it on the link bellow.

Smartware:

http://wdc.custhelp.com/app/answers/detail/a_id/7/session/L3RpbWUvMTMyNjU3NzA5MC9zaWQvQXpCTlM4T2s%3D

Anywhere backup:

http://wdc.custhelp.com/app/answers/detail/a_id/3528/session/L2F2LzIvc25vLzEvdGltZS8xMzI2NTgwMDAxL3NpZC9RX2k4MjlPaw%3D%3D