This is your wireless device
I take it you ran the offer of addition drivers that would probably have been offered for you?
0c:00.0 Network controller : Broadcom Corporation BCM4311 802.11b/g WLAN [14e4:4311] (rev 01)
Subsystem: Dell Wireless 1390 WLAN Mini-Card [1028:0007]
Kernel modules: wl, ssb
Your device should work perfectly and it looks like the proprietary broadcom driver is in place.
Don't you see any access points offered?
Is your system fully updated? (Have you rebooted)
FYI: I have a very similar device but I don't use the driver Ubuntu throws at you. But that's just me. And what you have should work.