Remove the display cable bracket.

Pry up on the cable connector with the pointy end of a spudger to disconnect the screen from the phone.

When you disconnect connectors like these, be careful not to dislodge the small surface-mounted components surrounding the socket.

To re-attach press connectors like this one, carefully align and press down on one side until it clicks into place, then repeat on the other side. Do not press down on the middle. If the connector is misaligned, the pins can bend, causing permanent damage.