Can I use any micro usb cable to connect to ps 4 controller?

Yes. The PS4 controller uses a regular USB cable, and any USB cable can be used to connect the controller to either a PC or a PS4.

Also, if your PC supports Bluetooth, you can connect your PS4 controller that way as well.

Unfortunately, not many games support the PS4 controller, so you'll need a wrapper for that.

Yes, this should work out of the box for some more modern games such as Mortal Kombat X but for others like in my case Grid Autosport and Dirt you might need something to bridge the gap and have windows emulate it as a XBox device. I use InputMapper (just keep it running while your controller is connected), works extremely well and you can use the touchpad to control your cursor as an added bonus.