As the AWS documentation suggests:

import logging
logger = logging.getLogger()
logger.setLevel(logging.INFO)
def my_logging_handler(event, context):
    logger.info('got event{}'.format(event))
    logger.error('something went wrong')

Now I made:

import logging
logging.basicConfig(level = logging.INFO)
logging.info("Hello World!")

The first snippet of code prints in the Cloud Watch console, but the second one no.

I didn't see any difference as the two snippets are using the root logger.