costs depend a lot on your location.
Did the pilot light go out on it's own,for no apparent reason or was the gas turned off and it is failing to relight.
I suppose this appliance has not been serviced for a long time,if it has then contact the service operative/company that did it.just saying that as many gas workers don't want to work on them as they are rare now,unusual,not many younger gas workers have no knowledge of these and wont have the relevent reference material at hand.
When you go through the relight process can you see a spark through the viewing window when spark generator is operated,try several times.
The case will need to be removed to make a repair,dont remove the case yourself,the seal could fall apart and no longer keep the end user's separate from carbon monoxide.
There is a very good chance a new case seal will be required to attempt any repair,search the net if that part is available first,the possible cause of no pilot relight are piezo spark not working or insufficient gas passing through pilot injector/burner to ignite.
Maybe consider a new appliance,sorry not good news.
All the best,hope you can find a pilot pricker (an old gas operative).