There are several unit test frameworks available in Python. Try/except blocks are good for error handling, but you still need a separate unit test around the call if you want to unit test it.

You do have something you can test, you can just return it and test that in your unit test.

Example Unit test using unittest:

import unittest
import requests

class RestCalls():

    def google_do_something(blahblah):
        url= blahblah
        try:
            r = requests.get(url,timeout=1)
            r.raise_for_status()
            return r.status_code
        except requests.exceptions.Timeout as errt:
            print (errt)
            raise
        except requests.exceptions.HTTPError as errh:
            print (errh)
            raise
        except requests.exceptions.ConnectionError as errc:
            print (errc)
            raise
        except requests.exceptions.RequestException as err:
            print (err)
            raise


class TestRESTMethods(unittest.TestCase):

    def test_valid_url(self):
        self.assertEqual(200,RestCalls.google_do_something('http://www.google.com/search'))

    def test_exception(self):
        self.assertRaises(requests.exceptions.Timeout,RestCalls.google_do_something,'http://localhost:28989')

if __name__ == '__main__':
    unittest.main()

Executing should show (made some edits to this post, updated output included at bottom of post):

> python .\Tests.py
 .
----------------------------------------------------------------------
Ran 1 test in 0.192s

OK

If you asserted a different response code from your request, it would fail (the request is just returning http response codes):

python .\Tests.py
F
======================================================================
FAIL: test_upper (__main__.TestStringMethods)
----------------------------------------------------------------------
Traceback (most recent call last):
  File ".\Tests.py", line 25, in test_upper
    self.assertEqual(404,RestCalls.google_do_something('search'))
AssertionError: 404 != 200

----------------------------------------------------------------------
Ran 1 test in 0.245s

FAILED (failures=1)

Which is expected.

Edit: Included exception testing. You can test these by just including raise in the except block, which will show this after running:

> python .\Tests.py
HTTPConnectionPool(host='localhost', port=28989): Max retries exceeded with url: / (Caused by ConnectTimeoutError(<urllib3.connection.HTTPConnection object at 0x03688598>, 'Connection to localhost timed out. (connect timeout=1)'))
..
----------------------------------------------------------------------
Ran 2 tests in 2.216s

OK

References:

• Unit tests in Python
• https://docs.python.org/3/library/unittest.html
• https://en.wikipedia.org/wiki/List_of_HTTP_status_codes