How to reliably send real-time output of a process over a web server and vice versa?

I plan to create something similar to XBOX Cloud Gaming, wherein a client can play a game that is running on the server.
Ideally, what I want is a web server (hosted through something like ngrok) that reliably sends what the game is showing to the end-user in real-time, while also taking in inputs from the user.
So, server sends what is happening in the game, user sends game inputs to the server, server sends those same inputs to the game, etc etc.
An example of the type of output I want is the Droidcam Web Server, where you just go to a link and get access to the camera data of the target phone in real time.