My computer specs are: G5 PowerPC, 2.0Ghz Dual core processor, 8 GB RAM, 256 MB Ati Radeon 9800 pro graphics card and Final Cut pro 6.0.6.
To be clear, your is a dual processor, not a dual core.
An image is an image. As long as you can get the photos from the camera to the computer, your software should work as it always does.
Now, are you really asking about RAW support, or some other format support?
Will it be able to edit the footage if I converted it to Apple Prores (LP, HQ or standard)?
It is highly probable that your G5 is a bit old, slow, and that the software a bit late to be fully compatible with the Canon.