It is not possible to answer your question without more detail. What is your monitor? Does it have an AV input? Does your Sony have an AV output? (probably)
I use a NextBase 9" DVD player, it has an AV input which I connect to the AV output on my camera (normally a Yellow BNC plug) It works OK. Whatever the monitor you choose, it will need a composite video input and you will need a combimation of cables to connect to your Sony.

I suggest you take your camera to the monitor supplier and see if you can get it to work.