Can the email template automatically display the lead’s name?

Yes, this can be done by using the merge tags {{attendeeFirstName}}, {{attendeeLastName}} or {{attendeeFullName}}. To know more regarding how to use merge tags, please refer to this article.
Note: Only leads added after 24th September 2024 can use the {{attendeeFirstName}} and {{attendeeLastName}} merge tags. Leads added into the event before that will only be able to use {{attendeeFullName}}.