Trying a live CD boot first you can find out in 5 minutes if your wifi card is supported. If not you can use Ndiswrapper to use your windows driver – it's a bit fiddly but not that bad.
Method 1, to install Windows and Ubuntu on the same HD as totally unrelated OS's selected between by grub 2, is the best method. Boot from the live CD, test your wireless, if happy click install and follow the instructions.
Method 2 uses a program called Wubi. You start with the computer running windows and pop the CD in the drawer. Ubuntu then installs within windows. You still get a OS selection menu at start up with this method, and they appear to be separate operating systems. However, you can remove linux at any point using add/remove programmes like any other windows installed program. Two disadvantages here – don't think you can take the step to a linux only setup as the install is tied to windows. HD performance also takes a hit as the computer is permanently converting data between NTFS (windows) and ext3 (linux) filesystem formats.
If you install linux to its own partition (method 1) and you want to hose windows you can reboot from the original live CD and use gparted to delete the Windows partition and resize your linux partition. If by any chance you have trouble booting linux after that – but you shouldn't – you can recreate grub 2 easily from the command line also using the live CD. Had to do it the other day with my 5 OS main PC!
Once ubuntu is installed, it is worthwhile to go to software sources and allow third party sources. This expands the available software. Using the command line expands it even more, for example:
sudo apt-get install googleearth
does what you'd expect. Thousands of programs out there legally for nowt!
I'm a self confessed linux evangelist so if I see you post up any issues I'll be on with an answer if I see/know it.