I'm confused why you've started another thread for the same thing.
http://arduino.cc/forum/index.php/topic,98548
What exactly would I be looking for at processing.org
I gave you links and instructions in the other thread. If you don't want to follow them, why keep asking questions. The book you have is based around using a Kinect with Processing. Much later (chapter 6) it uses Processing to send serial instructions to an Arduino, but it still uses Processing for the Kinect interface. If you aren't going to use Processing, then the book is no use to you.
If I put this into the arduino platform with the kinect connected to the computer and the SimpleOpenNi libraries uploaded would it do something?
or would I have to utilize something else?
You really have to realise that this has absolutely nothing at all to do with the Arduino. It is all done in Processing. To obtain Processing (as I put in your other thread):
Go here: Download Processing / Processing.org
Download the version appropriate for your operating system.
Follow the instructions here: http://www.processing.org/learning/gettingstarted/