Good afternoon Thiago and welcome to the Events Calendar Support forum!
Thank you for reaching out to us.
I would love to help you with this topic.
Is it possible to send the customer a calendar invite for the event that they register?
That is a great question.
Currently, there is no built-in way to achieve this.
I can totally see how this could be a cool feature to have.
In fact, you can suggest it or cast your vote on other features in our User Voice forum.
In the meantime, I am pretty sure this could be accomplished via some template customization.
At the very least, you could include the same iCal and Google Calendar links that are found in the single event page in the registration email.
You might want to read our Themer’s guide to get a sense of how that works.
As an alternative, you could hire one of our recommended customizers to do the customization for you.
I wish I had a better answer for you, but for now it’s the best one I have.
Best regards,
Geoff B.