Google Calendar can read iCal feeds from Nomad Stays and other feeds you have.
But Google's standard settings DO NOT update for change.
You need to manually turn on SYNCing to get your Google Calendar updated.
Activate Google Sync
There is a well-hidden Google Calendar "sync" setting that is not reachable from within the main interface which seems to affect the external calendar updates.
Such settings can be reached from this URL:
When there, you'll be able to turn the syncing feature ON and/or OFF for all your calendars.
Turn it ON to get updates into your Google Calendar.
Google Calendar Updates May take 48 hours
Cheqroom reports that Google is quite slow to check for external calendar updates
https://help.cheqroom.com/en/articles/1502123-why-is-my-google-calendar-sync-slow-or-not-updating-at-all
But Ryadel has produced a Code Script if you'd like to get faster updating
https://www.ryadel.com/en/google-calendar-force-update-refresh-subscribed-calendar-ics/