I took several photographs of full moon but all pictures are bright, can I reduce the brightness and bringout the layers of moon as I see with naked eye.?
Generally speaking, once something is completely blown (or clipped) - there is nothing there to recover.
You can try to process the RAW file such that you try underexposing by as much as possible to see if there is any salvageable data hiding in the blown-out moon.
If there is, great! You will now need to produce a couple of jpegs from the RAW file. One where the moon is properly exposed, and another where everything else is properly exposed. You could export images at 1/2 stop intervals from point A to B and use something like an HDR merge to merge them all together, or simply export the two and mask the better quality moon into the better exposed everything else image. If you have questions on either of those processes, please search and ask additional questions.
However, if you toggle the exposure in the RAW converter to it's maximum underexposure and the moon is still pure in color - then I'm afraid there is nothing there to salvage.