Hi DKX,
I am not with Laminar Research; just a flight simmer.
You can load X-Plane onto as many computers as you like. However you can run only one legal version at any one time whether it be a laptop or PC.
If it a disc version, then disc 1 has to be installed in the DVD drive at all times. If it is a digital download version from Laminar Research you have to have the installation key entered and be connected to the internet.
Have fun and welcome to the world of X-Plane