The following snippet of code does exactly what you want, but BEWARE that your input (as written in the question) is not a valid json string, you can check here: http://jsonlint.com.
import json
input_json = """
[
{
"type": "1",
"name": "name 1"
},
{
"type": "2",
"name": "name 2"
},
{
"type": "1",
"name": "name 3"
}
]"""
# Transform json input to python objects
input_dict = json.loads(input_json)
# Filter python objects with list comprehensions
output_dict = [x for x in input_dict if x['type'] == '1']
# Transform python object back into json
output_json = json.dumps(output_dict)
# Show json
print output_json