Yes. For each email campaign you will see the total number of emails sent and the aggregate email open rate. Email campaigns that have started will display the total number of emails sent for the campaign and a button for 'View Related Email'.
When you click the button, you will see all emails that have been sent for that specific automated email campaign and the individual statistics for each email.
Note: For birthday and anniversary automated email campaigns, you may see some emails that have more than one recipient. This is because more than one contact in your address book had a birthday or anniversary on that date and they were scheduled to receive the same automated email template.