You can buy adapters for exorbitant amounts of money, don't remember where, search google for something along the lines of "pc aviation headset adapter". They charge far too much though. If you know much about electronics, you can make your own.
I'm assuming you want the mic to work as well, because you can just plug your headphone jack straight into the computer (with the proper plug adapter). The trick with the mic is that it needs to be powered and you have to get the right offset bias voltage on the mic for it to work. I was attempting this for a recording interface to a microcontroller, but I ran out of time and it wasn't working so I went with a cheap computer mic.
Few headset companies make it easy to find the info you need, but Flightcom came through for me. Page 14 of http://www.flightcom.net/pdf/denali_manual.pdf
shows the jack diagram, and page 12 shows the bias voltage and supply resistances expected by the mic. It needs 8-16 volts, and 220-2200Ohms of supply resistance. Not being familiar with microphones in general, I believe this power is applied to the middle ring of the jack, label "hot" in the Flightcom diagram. You also capture the signal from the microphone from this ring, and you then need to adjust the DC offset of the signal to a level the computer can read (I don't know what this is, consult your soundcard documentation). Note that the info from Flightcom is the same for all aviation headsets since they all need to plug into the same intercoms.