Short answer
HubSpot's KB: the HubSpot App for Zoom Meetings is an in-meeting app, separate from the HubSpot-Zoom integration. Only the host can use it to view participants, create contact records, and take notes.
1. In HubSpot
The relevant screen in my demo portal.

2. Worth knowing
Past meeting notes open with View in app.
3. Related
Zoom meeting links and Notetaker.