There is no plain CyberVision. There are the CyberVision64, CyberVision64/3D and CyberVisionPPC as far as I know.
The CyberVision64 has a monitor pass through; you can connect the Amiga chipset video to the card. The card can switch between CyberVision64 screens and native Amiga chipset screens. The card doesn't scandouble though. But that's not a problem for you as the Amiga 3000 has a scandoubler already. Just connect the Amiga video to the CyberVision64 and you should be set.