I would highly advise you to install Trisquel instead of gNewSense. If you
are trying to be like RMS (because he has gNewSense) I would advise you
against it in this case.
The reason RMS uses gNewSense is because he has a
[http://stallman.org/stallman-computing.html lemote laptop] which contains a
non x86 (MIPS I believe) architecture. Trisquel does not have a MIPS
version so he can't install it on his computer.
However, gNewSense is based off Ubuntu 8.04 I think which is from 2008. The
current version of Trisquel is based off Ubuntu 11.10 which is from the end
of 2011 so it is much more up to date. Since broadcom free'd it's drivers
after 2008 it is more likely Trisquel will just work out of the box then
gNewSense.
It is hard to say though if your card will work because some of the 43xx
series work and some don't according to
[http://www.h-node.org/wifi/catalogue/en/1/1/Broadcom/undef/undef/undef/undef/undef
h-node]. I would download the latest 5.5 CD and try it.
But yeah I wouldn't use gNewSense unless you have a specific reason like RMS
with the computer architecture. RMS and the GNU project have given Trisquel
their blessing so there is no reason to think gNewSense is superior to
Trisquel in any sort of ethical/free software fashion. They are both free
distros.