Are you only getting black or blank pictures as well when you take a picture and then download it to view on a computer? (I realize that you cannot "see" on the camera screen what you are taking)
If you do a get "good" picture then most probably there is a problem with the motherboard in the camera.
Here is a link to just one supplier of the part. It is not a recommendation to use them. It is merely shown to give you an idea of the cost of the part.
If you only get a "black or blank" picture, then you most probably have a faulty CCD sensor in the camera.
Here are 2 links for suppliers of the part. It is not a recommendation to use either of them. It is merely shown to give you an idea of the cost of the part.
Here is a link to the ifixit Nikon Coolpix S33 repair guide. It is helpful as it will help you to gain access to the motherboard and the Lens/CCD sensor board.
If the above seems too daunting I suggest that you contact a reputable, professional camera repair service and ask for a quote to repair the camera
Hopefully this is of some help