rufio, that last question is a GIANT can of worms.
If I'm using terminology you don't get, stop me and I'll explain. I've been talking about the fact that deaf kids with hearing parents whose deafness is not diagnosed until they are say two or three years old, and who then are often still not exposed to true, accessible language for even longer, experience significant cognitive delays. Cognition basically just means thinking. Their ability to think is impaired. Language is especially affected, but there are more general implications as well, how they use logic, solve problems, etc.
I'll give a short answer to your question about "surgery or some type of procedure to allow them to hear again", and then if there is more interest (and if rosborne says it's fine to take the thread further off track... I'll start a new thread if not) I'll go into it further.
To take a theoretical situation where a child was deaf from 0-3 and then miraculously regained his hearing completely, he would still be seriously impacted. He might be able to make up lost ground somewhat, but so many critical things happen in the development of the mind and cognition in that period that are dependent on language. So if an 18 year old who had been deaf 0-3 and then had perfect hearing was compared to an 18 year old who has been deaf from birth, both with hearing parents, the one that was currently hearing would probably be better off, but still have significant problems.
The thing is, that I speak in terms of "theoretical", "might", and "probably" because when these surgeries do take place, it is not nearly so simple as restoring the child's hearing. And that's where I could go off on a really long tangent, which some people here have already seen, so I'll hold off for now.