PYTHON-5766 Add codecov badge to readme (#2737)

Co-authored-by: Copilot <175728472+Copilot@users.noreply.github.com>

Author: aclark4life

README.md

@@ -4,6 +4,7 @@
 [![Python Versions](https://img.shields.io/pypi/pyversions/pymongo)](https://pypi.org/project/pymongo)
 [![Monthly Downloads](https://static.pepy.tech/badge/pymongo/month)](https://pepy.tech/project/pymongo)
 [![API Documentation Status](https://readthedocs.org/projects/pymongo/badge/?version=stable)](http://pymongo.readthedocs.io/en/stable/api?badge=stable)
+[![codecov](https://codecov.io/gh/mongodb/mongo-python-driver/graph/badge.svg?branch=master)](https://codecov.io/gh/mongodb/mongo-python-driver)
 
 ## About