CG is simply Computer Graphics, and my 3D background was simply a lot of hobby projects and some commercial 3D.
If you are interested in doing 3D graphics all you need is… a blender 
Blender is definitely one of the best free apps on this planet. When it comes to learning Blender I can recommend 3D Cookie tutorials. Give it a try, start with hard surface modelling, as these are the basics of 3D as it’s used in game dev. And then you will see if you like it or not.
The number of scenarios for you learning path are endless. It’s friday so just find a tutorial and start it, there won’t be a better timing for that ;). Once you start, you will start having ideas where you want to go next.