Use the RSS feed for your calendar to generate a list of upcoming events for an outgoing email. This is a common option in email marketing services like MailChimp of HubSpot, usually for sending new blog posts by email. The RSS feed in our system will post the next 20 events, with options to limit the feed by date and category.
See more about our RSS feed options here: RSS API Feed
Once you have the RSS URL, you can use that in your mail service tools to create the email using this feed. Here are some of the more common services that allow you to do this. You can search for "RSS to email" to find one relevant to your tools.