After you have inserted the picture you can add the rest of the elements, such as the background frame (another shape), the name of the person and his/her position and all the rest of the needed information. To make sure your arrangement will be retained as you continue, I suggest you group all elements together.
To move further on your Organizational chart, my advice is to Copy and Paste the structure you have made. This way you will ensure that all rectangles and text lines are arranged exactly the same way.