User is not able to see the emails sent from Core in their personal email account.
Core sends emails from a separate 'Core Notifications' email address, not any personal or work email address. To track emails sent from Core using a personal email address, you can include your email address as a CC or BCC email in the Global Settings > Email Settings screen.
You can also integrate Core with Office 365 Outlook, Hotmail, or Exchange. Its real-time connection allows you to create emails and calendar events in Core and see them in your Office 365 account. Check the Core Help for more information on Office 365 integration.