Your linked transmitter is very elementary. But if there's an analog composite video signal feeded to connector "Video input" with right amplitude and the potentiometer is well adjusted, a normal analog TV-receiver can really catch and show the video.
The reverse circuit - a receiver which outputs analog video can in theory be a simple superregenerative AM receiver, because your transmitter makes AM, not vestigial sideband modulation signal like proper norm respecting TV transmitters. Unfortunately video display equipment need strictly controlled video signal voltage for acceptable image and no simple receiver will provide it. That's why you actually need a proper analog TV receiver.
ADD: I just realized that you want to send signals through soil and rock. It is probably impossible except by using very low frequency which would need huge antennas. The water in the soil will attenuate VHF and UHF range signals to non-detectable very soon. You should do some tests before continuing the project.