The only IP address I can see is the one when I am connected via the Sonic modem. In that configuration my computer's IP is 192.168.42.64.
When I swap out the sonic modem for the Netgear and connect via the ethernet cable the IP is blank according to the TCP/IP drop down window.
If your computer is connected via ethernet directly to the Netgear and the computer is not obtaining an IP then it sounds like the Netgear isn't providing DHCP, other settings on the modem are messed up or your computer's NIC is assigned a static IP under its tcp/ip properties that isn't being served by the Netgear.
Assuming the computer is set to automatically acquire an IP address, I would unplug the ethernet cable from the computer, do a hard reset on the modem and once the modem restarts and is back to the factory defaults, plug the computer back in and see if you obtain an IP address.
If you do then login to the Netgear, ensure you have a WAN IP with internet connectivity and then put it in bridge mode (assuming you want to continue using your Apple router). Once that's done connect the ethernet cable from the Netgear to the WAN port on the Apple router and you should be done.
If you still aren't getting an IP address then try a different ethernet cable. If you get an IP but can't login to the Netgear after the reset (page timeouts, etc.) then try a different web browser (assuming you can ping it).