First try the xserver-xorg-input-wacom package from the Ubuntu repository (you may need to adjust your /etc/X11/xorg.conf file.)
If that doesn't work, then make sure you have the 'build-essential' package installed. Extract the contents of the archive. This can be done from the command line as:
tar xjf linuxwacom-0.8.8-10.tar.bz2
presumably that will create a new folder with almost exactly the same name. 'cd' into it before following the rest of the instructions. I note they lack:
sudo make install
(normal commands for most packages)
Note that installing a driver this way will cause problems when you update either X11 or the kernel. Doing so may require you to reinstall the driver. That's one of the strong reasons for using Ubuntu packages instead.