This is what the Action Center looks like by default on the Windows 10 Mobile Lock Screen.
In order to turn off notifications in the Action Center open Settings on your Windows 10 Mobile Device. Then tap System (1).
In the System settings menu tap Notifications & actions (1)
On the Quick actions settings page tap Show notifications in action center when my phone is locked (1) to turn off the display of notifications in your Action Center on the lock screen.
You can now return to your phones Start Screen.
If you swipe down from the top of your phones lock screen you will now see this instead of all the notifications.
Just unlock the phone and swipe down on the screen to see all of the notifications in the Action Center.