The Xbox One can not directly accept input from an Xbox 360 controller – however, with Windows 10, there is a work around. In this form, Xbox 360 controllers will work for playing Xbox One games. You can directly plug in a wired controller, or use an adapter, if you are using the wireless controllers. Good luck.
Beside this, can I use any wireless network adapter for Xbox 360?
Dongles are, by far, the easiest way to get your Xbox 360 on a wireless network. But they also tend to be the priciest. Microsoft’s official wireless adapter is $87, which is absolute horseshit for a Wi-Fi antenna attached to a USB cable. But it looks the nicest and is super easy to use—just plug and play.