You serial port didn't work because the RS-232 signals are not TTL. They are >+3V and <-3V. Your parallel port should be able to do the trick though. You can use the Inport function (Advanced>Port I/O palette) to read. There is a brief tutorial
here. If you have LabVIEW 7 or greater, you can ignor the part about additional drivers required for WinNT and W2K. They are no longer required.