Prerequisites
Java 1.5 comes preinstalled on Mac OS X 10.4 or later, so you won't need to install it yourself.
Python, which the Skeinforge toolpath generator uses to do its magic, is preinstalled on Mac OS X. However, if Python is giving you troubles, you can download and install a more recent version from python.org.
Download
Make sure you've downloaded the latest version of the ReplicatorG software.
Copy to Applications
Mount the .dmg file and copy the ReplicatorG folder to Applications. Remember to copy the folder— if you try to run ReplicatorG directly from the mounted disk image, it will complain about running from a read-only directory and exit.
Install Drivers
There is a /drivers folder in the replicatorg folder you installed. It contains a driver for the FTDI USB->Serial converter used with Arduino and Sanguino boards. If you have already installed Arduino, you can skip this step. Otherwise, please install it.
Run it
You can run the ReplicatorG application by double clicking the ReplicatorG icon.
Done!
Next, move on to the usage page for instructions on configuring and using ReplicatorG.