What?

??
Power over ethernet is a way of suppling power to network devices using ethernet cable and not needing to plug the device into a wall power outlet. It can not take the place of a router. Someone is really lost here.
In order to connect a router to a computer you will either need to run a ethernet cable from the modem to a computer or a USB connection.
Or you can purchase a wireless router and a wireless network adapter.
Or you can purchase a regular router, a wireless access point and a wireless network adapter
Or you can purchase a regular router and connect it to a computer using ethernet cable.
Thats it.....