Tips on how to run a Java application as a server and access it remotely?

I am working with a Java program that controls devices attached to the computer via serial communications. Users operate this program with a GUI made with JavaFX. This application runs on a Linux OS.

I would like to set this Java application to run on a server and replace this JavaFX GUI with an HTML page that could be accessed remotely. I am stuck with Java for the application itself since it uses some very specific proprietary libraries to communicate with the hardware that only exist in this programming language.

I am not familiar with using web functionalities with Java and I really don't know where to start, so any tips on a general direction to follow are welcome.