If you want to send the changes back to Google Calendar, you need to export your Outlook Calendar.
Google officially announced "Google Sync End of Life", including the Google Calendar Sync, last year.
There are known issues that cause some email clients, especially older clients and those on some mobile devices, to provide inconsistent and unreliable updating of calendar information via Exchange Active Sync.
Outlook will periodically check the Google Calendar for updates, and if any new or modified events are found, they will be downloaded and displayed alongside with your Outlook appointments. Remember that the Google Calendar imported in this way is read-only, the lock icon is displayed in the lower right hand corner of all imported Google Calendar's events, meaning they are locked for editing.
Changes made in Outlook are not synced with your Google Calendar.
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Note that if you choose to sync with a shared Outlook calendar, all items not marked as private will sync to your specific Salesforce calendar.
Review the Synchronization Summary window to see a list of all new or updated calendar items that match the established sync criteria. Items that exist in Microsoft Outlook appear on the right.However, it can be quite limiting and often times does not meet the definition of what many are referring to when asking for a group calendar for group scheduling solution within the Outlook interface.First and foremost, Microsoft's built-in group calendar functionality within Microsoft Outlook requires some form of shared calendar functionality because Outlook does not combine the appointments of more than one person into a single calendar view, but rather shows two or more Microsoft Outlook calendars side-by-side (shown below).I'm sure by now all of you are aware that the old good Google Calendar Sync is not supported any longer.And you don't need to have the third eye to understand at least one reason why they discontinued it.If you are interested in how to share Outlook calendar information then refer our special report: How to share Microsoft Outlook calendar and contacts.