Yes, you can use your wireless XBOX 360 controller for your PC. It is very simple to do and it works very well. There are no firmware updates required, and it will work with current, and future xbox controller models.
All you need to do is buy the wireless receiver for your xbox controller. You can get one off Newegg.com for $13. Here is the link:
http://www.newegg.com/Product/Produ..._-pla-_-Xbox+360+Accessories-_-9SIA0U00921743
This is plug and play. So yea, just buy the receiver, and you are in business.
Also, you can just buy the Wireless Xbox 360 controller for Windows, which is the same thing as your current xbox 360 controller, it just comes with the receiver as well.
Hope this helps!