Okay, this isn't the easiest way, but we're talking effectiveness, right? You can jack around with convienience later.

'$' is your user prompt, '#' is your root/administrator prompt.
$ su <enter>
password: <enter your password for root>
# mount /dev/cdrom /mnt/cdrom <this can vary a little, look in those directories for other possibilities>
# cd /mnt/cdrom
# <navigate, using cd, to wherever your drivers are>
# cp <drivername to some directory you make in your home directory -- I use a Drivers directory for things like this>
At this point, you can probably exit:
# exit
Or, to be safe (providing the copy works) you can unmount the drive like so:
# cd / <this takes you out of the drive directory, because you cannot unmount a drive you are still using>
# umount /dev/cdrom
# exit
Okay, this was necessarily simple, mainly because you're a newbie, which is no big deal, but you should take some time to learn the command line. There are ways to do this using the GUI, but depending on your setup, it can be different, whereas the command line tends to be pretty straightforward and constant (which is why a lot of older users tend to use it, despite improvements).
That said, the 'man' command is your friend. In other words, 'man cd' will explain the cd command to you.
Other commands you might want to check on: cd, mount, su, cp, chmod/chgrp (these change user permissions, which you will probably need pretty early on), ls, umount, cat.
Better yet, invest some time, and possibly a few bucks, and either read up on these commands when you get the chance, or invest in a handy dandy linux reference book. It will be worth the effort.
Hope this helps, and if it seems complicated, remember, I've been doing this for 8+ years, so explaining something simple is sort of like explaining algebra to an elementary student. It's not that hard, but because the explainer knows all the "ifs" and "buts", if can sound worse than it is.
THE SIMPLE VERSION (reportedly)
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If your user has the ability to mount drives (typically called automount, check your documentation), you should be able to right-click on a drive on your desktop (for instance the cdrom on your desktop background) and mount it. From that point, you should also be able to right-click, or simply click or double-click the icon, and a filemanager should open up, showing you items on that drive. At that point, it should be a matter of dragging and clicking the file off the cdrom, and onto your hard drive into a directory you choose. At that point, follow the instructions provided with your driver, and when you finish, if you like, you should be able to remove the directory you created, as the important files will have been installed in safer locations.
(As an added note, I went to the company's web site, and if I were you, I'd make sure I took good care of that driver disk, because from what I saw, despite the fact that they claim Linux driver support and provide it with the device, there is no place to download it from the website. That said, sometimes a friendly email will get those items, even if they aren't on the website pages.)