When you press the button on the remote, the camera will save the currently recording file and take a picture of the moment the button is pressed (at least it should). There is no setting you need to change other than the initial pairing of the remote to the camera.
If you press the menu button while the camera is recording, it will take a picture and you will hear the shutter noise. However, when pressing the ! button on the camera or the Bluetooth button, it is saving an emergency file and you will see the yellow triangle on the LCD screen along with a series of beeps. I do not believe you will here a shutter sound when pressing the Bluetooth button.