@mike peterson welcome to the community! You have power-ups like Planyway that allow you to create a 2-way sync with GCal. Unito is another 2-way sync that works a bit differently. Both power-ups are paid solutions but will give you a true sync.
Another alternative which I believe is free would be Zapier. However, Zapier doesn't offer true syncing; it's just a one-off automation. So if a calendar event gets sent into Trello, and then later on the event gets updated in GCal, this won't update in Trello. Similarly, if you update something in Trello, you'll also need to update it in GCal. So depending on your workflow, it may cause a lot of manual duplication of work and discrepancies.
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