Great question, Andy! As Jen mentioned, the
calendar chrome extension is a great solution when working on a desktop computer.
Even without the Chrome extension installed the calendar event has a link to the GQueues task....but only on desktop!
Unfortunately, the Google Calendar mobile app doesn't show these links.
There is one more option though for completing GQueues tasks from the Google Calendar mobile app, that may work for you:
You can delete the task from Google Calendar!
The downside is the completed task no longer appears on Google Calendar, but if that's not important to you then this may be a viable option.
-Cameron