If the drive is out of your notebook and it's sata you can just plug it into the desktop like a normal 3.5" hard drive, they use the same connector. If it's PATA you need to use a 2.5" to 3.5" converter.
edit: forgot that they also make hard drive enclosures that convert 2.5" to USB
...not to mention the HDD docks available for SATA devices.
We are still not clear regarding the transfer he is attempting.