Broadcom is the worst for open source drivers, but you can always use
Windows drivers if there isn't a Linux one by installing ndiswrapper. So the
good news is that you should be able to get any wireless working.

Type: lshw and scroll back to the section called *-network

Look at the bottom under configuration to see if it lists a driver or if it
says UNCLAIMED. If it lists a driver then you should be able to set up your
wireless using the wireless network tool in the system tray. If it says
UNCLAIMED then you need a driver. You can try Hardware Drivers in the
Administration menu or if there is none then install ndiswrapper and ndisgtk
using Synaptic, apt-get or software centre. The latter one is a GUI for
ndiswrapper that simplifies using the Windows driver. You will need your
driver disk for Windows.