The Play 'n' Charge kit doesn't transfer data. Therefore you can't use it on a PC. Just go get a wired controller. Also, there are drivers for the controller on microsoft.com(just go google it).
Also, they make Xbox controllers for PC. They're the same exact things pretty much except the PC ones cost a bit more.
ALSO, Go download Pinnacle Game Profiler. That way you can edit the controls to fit the controller. i.e. You set the "A" button to the space bar so you could jump, etc.