It was a easy, I followed the guide Raspberry Pi Official DSI Display Assembly to install the hardware. After the hardware setup of the display I connected a USB cable for powering the Raspberry pi according to the guide in The eagerly awaited Raspberry pi display
Starting up the the device the display was working, but no touchscreen was enabled. To get the touchscreen to work I did the upgrade explained in the guide:
$ sudo apt-get updateAfter the update the display worked as expected.
$ sudo apt-get upgrade
$ sudo reboot