How do I install a DWL G650m Wireless Notebook Adapter Driver onto A
Sony Vaio PCG-GRZ610 which I recently converted to UBUNTU (Linux).  I
am trying to get on my network to access the internet and Print. I
think I need a driver

Generally, Linux geeks recommend using ndiswrapper which actually uses
the XP wireless drivers for your machine.  It is available in tar ball
or package, don't remember off hand which one Ubuntu is.

There are plenty of tutor pages on the Web, google.

I saw yesterday a claim that a group was creating a wireless driver from scratch.

I used ndiswrapper and loaded the driver from my installation CD but
it didn't seem to work.  I am still messing with it though.

don't have my laptop handy to try this but thought i'd suggest it anyway 

sudo vi /etc/network/interfaces

add these two lines

auto wlan0
iface wlan0 inet dhcp

then restart networking and
ifup wlan0

I am sorry.

I am new to this.

where do I add this once I pull it up in the terminal?

vi, also known as vim for later versions, is a linux editor, which
will run from a terminal mode.  If you have a GUI, there are plain
English editors, which do not require learning as on vi/vim. Examples
are kwrite or kate for KDE; or gedit for gnome.

That file, /etc/network/interfaces is probably a script file. Open it
in your choice of editors (I use KDE, so I normally use Kate,) and
look at that file. I don't have Ubuntu and Mandriva 2005 doesn't have
that particular file.  But, normally in a script file, one adds the
suggested lines, perhaps at the bottom, then saves as with Notepad in
Win.

I hope this is not a google violation, but for this sort of problem if
you do not get a satisfactory answer, I would advise googling for a
forum on Ubuntu, and posting it there.  Another choice is a main
stream Linux forum, such as www.justlinux.com
***
Normally, ndiswrapper looks for a Win partition and loads the Win
drivers from there. Alas, if you are not dual booting, that won't
work.