I'm not sure if I understand your question correctly. So are connecting this convertor to the serila port of your PC? There is are example VIs in LV that do serial comm. You can find them through the Help menu >> Examples.. >> I/O >> Serial.
Also the best way to find examples is to goto ni.com >> Support >> Advanced Search (option 3) >> type in the keywords "labview examples", you will get the ones titled,
-Using VISA to Access the Parallel Port in LabVIEW
-Writing to a Parallel Port
-Reading from the Bi-directional Parallel Port
Hope this helps.