You can view the message logs in the Google Admin Console.

1. Sign in to the Google Admin console.
2. Go to Reports > Audit  > Email Log Search. 

   

3. Select or specify  a date range. The time shown represent the time zone of the computer you're using to sign in to the Admin console and run the reports.
   
4. Or enter search criteria in any of the following fields:
   • Sender and Recipient—Enter sender's or recipient's complete or partial email address.
   • Sender IP and Recipient IP—Enter the sender or recipient IP address. Make sure it's the exact IP address, or the request will fail.
   • Message ID—Enter the unique message identifier located in the message header. 

     See Message headers for instructions on finding message headers for different mail providers. 

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5. Click Search. The query can take a few minutes to appear. Then click on the specific message to view the details.

   

Learn more about Email Log Search.