Looks like the questionnaire activity is a contributed plugin, its not part of the core Moodle
https://docs.moodle.org/402/en/Questionnaire_module
In the source code, there isn't a web service for getting the data, only submitting it
db/services.php
lists the webservices and their locations
https://github.com/PoetOS/moodle-mod_questionnaire/blob/MOODLE_400_STABLE/db/services.php
In this case, the services are in externallib.php
https://github.com/PoetOS/moodle-mod_questionnaire/blob/MOODLE_400_STABLE/externallib.php
Maybe add a comment for the developer here
https://moodle.org/plugins/view.php?plugin=mod_questionnaire
Otherwise, you will probably need to develop your own webservice
Some tips here
How create plugin for moodle for get user by option field with rest request
Note : the old way was to put the classes into externallib.php
, the new way is to put the classes into this directory classes/external/