parse a JSON Binary tree to visualize

Question

I need to parse a JSON file which is a binary tree. Also the depth of the nested tree is unknown. i.e. leftNode can be any deep.

 leftNode= can be a binary/operator or a sub tree
 center= always Operator
 rightNode= alwasy a value/expression.

Here is the JSON file:

jsonInput={
   "leftNode": {
       "leftNode": {
            "leftNode": {
               "leftNode": {
                   "leftNode": "brand_name",
                   "rightNode": "brand_id",
                   "centerOperator": "OR"
               },
               "rightNode": "category_name",
               "centerOperator": "AND"
           },
           "rightNode": "latitude",
           "centerOperator": "AND"
       },
       "rightNode": "latitude",
       "centerOperator": "AND"
    },
    "rightNode": "radius",
    "centerOperator": "AND"
}

How do I iterate over such file. I want to convert this into this a tree like structure. thank you