Your desktop must already have an Ethernet connection, I'm sure. A 50 foot piece of standard ethernet cable with the connectors already attached will probably cost you about $15 at a local store. You can find it cheaper mail-order, but you have to factor in the cost of shipping it. Then there's the question of drilling the hole. A 3/8 bit should do the job, but you may find that you need to go to a 7/16 in order to pass the cable.
And it has to be an extra long drill bit, about 8 inches or so make sure you get it all the way through the wall. Oh, forgot to mention, you're not going to be only get the hood and connector through even the 7/16 holel. So you have to cut off the connector, then splice it back on again. That would be quite messy unless you have the right tool and another connector.
More tools, more money, more time and more hassle. Still, I prefer the direct cable connection whenever I can, but in our house there is a moratorium on drilling more holes in the walls. Presently I am using a laptop with a built-in wi-fi connection. Just to go from my den to the laundry room.