using grep commands to find a duplicate id within a json file

I am looking for a way to use grep on a linux server to find duplicate json records, is it possible to have a grep to search for duplicate id's in the example below ?

so the grep would return: 01

{
 "book": [

  {
     "id": "01",
     "language": "Java",
     "edition": "third",
     "author": "Herbert Schildt"
  },
  {
     "id": "02",
     "language": "Java",
     "edition": "third",
     "author": "Herbert Schildt"
  },
  {
     "id": "03",
     "language": "Java",
     "edition": "third",
     "author": "Herbert Schildt"
  },
  {
     "id": "01",
     "language": "Java",
     "edition": "third",
     "author": "Herbert Schildt"
  },

  {
     "id": "04",
     "language": "C++",
     "edition": "second",
     "author": "E.Balagurusamy"
  }

 ]
}