Wireless USB is now available. Buy the pair of USB dongles, plug one into the desktop ad one into the printer and install it. Share the printer and use it as required.
Chris B

Unless you want to connect the printer to your desktop by cable and use it as a share printer, then you will have to buy a wireless enabled printer and I think you will need a wireless router as well but I'm not sure how this would work with you Telstra wireless internet.
Ron

Xp or Vista?
You need a Wireless router with ethernet/wired capabilies to share the printer, some come with usb port to share printers.
Otherwise you still need a wireless router with ethernet.
connect the ethernet to the desktop computer. Attach the brother MFC wired up onto the Desktop, install the drivers and sw and in the printers and faxes of the control panel in windows share this printer out.
Now make sure when your right click properties on "my computer" the workgroup is set up univerisally both on the laptop and on the desktop eg MSHOME or Workgroup.
After setting up the router with a new WLAN name, WPA2 key, individual channel assingment, DHCP, change the default admin password, disable UPNP and remote management go over to the laptop.
Connect to the wireless network as per instruction manual from the wireless router. Now navigate to printers and faxes and and add a new printer from the network it should search the Local network at your home for printers nearby.