I did a quick scan through the camera manual, what its not clear is if the HDMI output will display anything when it's not doing playback.
Meaning that it might not display a live stream of what the camera sees, only when it's playing back images and maybe videos. But I didn't read the manual in detail, so I don't know what is possible.
Also they warn not to connect the USB cable to a PC if the HDMI cable is in use so make sure you read the manual regarding what can be connected to the camera while using the HDMI cable.