The signal has to be wired into the wlan port on the router , a wireless router broadcasts the signal and doesn't pick up a wireless signal. You have to get an extender or repeater that will pickup the signal and then you can wire it into the router.
This will just give you 4+ wired ports off of one wired connection. You would need another radio (basically a second router) to make your own wifi network off of that connection.
The real question is, why would you want to do this? What is the point of receiving the wireless signal and then re-transmitting it? It's going to create a lot more noise on the 2.4ghz spectrum than is necessary.
I wish to thank all those who shared their expertise with me. I have learned a whole bunch of networking in a short period of time. When I went to the site that had the Wi-Fi, I found that the signal strength to the room that we have been assigned made it impossible to use a wireless setup at all.