If he has already ordered it, you are getting a model B, since that is the only model available so far.
If he is just contemplating ordering it later, you may get a model A.
However, the instruction given above doesn't matter which model you get, it just assumes that you have internet access. The model B has a built-in ethernet port (which actually comes off the USB port) which makes it relatively easy to connect to the internet. The model A doesn't have the built-in ethernet port, but it will still be possible to connect to the internet, using the USB port, it just means adding a USB hub or juggling ports, then adding a USB to ethernet converter or using a USB wireless device.