Connect the several computers via local host

I want to made a simple website using wordpress that can be displayed on several stationary computers in one building. The content of the website can be modified via CMS. I dont have many experience in that projects but I think, that I can connect it via localhost server.

My idea:

• On all PCs I want to make a script that will be check if the serwer is on and whenever is not it will run the server.
• The script will be run on whenever the system is booting up. When the connection is established it will open the web browser and set it to the full screen mode.

Is that good pratice ? I want to make it as reliability as I can and avoid using internet connection.