Well right now, say you have say a network with 10 computers and 1 printer. Well, you have to install drivers onto each computer to access the printer. Some computers function as nodes that broadcast the driver out, so it makes it easier for future computers to print to the printer. But those computers still require drivers. With this new patented method, I'm guessing it'll be like 1 computer (A) directly connects to the printer, and all the other computers connect to that computer A. When you want to print, you send the job to computer A. Computer A then authenticates that you have permission to print, and relays your print job to the printer. No drivers required for the requesting computers. Drivers are only needed on computer A.
The benefit is that ANY device that can access computer A, can print. Smartphones, tablets, netbooks, etc. Plus, now the printer developer only has to create drivers for computer A, rather than every device out there. Heck, if my Motorola RAZR (that original flip phone) can access computer A, then it too has printing capabilities.
'Least that's my take on it. I could be (and probably am) wrong.