Communication with the hardware will depend on the interface – is it serial or PCI? If it is serial, you can use the low-level serial commands or NI-VISA to communicate with it. If you have LabVIEW 7.0 and above, there is also the Instrument I/O Assistant that will help you get started communicating with the device as well.
If the device is PCI, you’ll probably want to see what kind of driver Adlink provides with the hardware. If they have a dll for the device, you could use the Call Library Function node (within the Advanced subpalette of the functions palette) in LabVIEW to interface with the dll.
Hope this helps. Best of luck!