Looking for a GUI design-pattern that fits this application

I'm developing a desktop app in java for a school project and I want to know how should I be designing the code of the GUI, specially because I will later have to run JUnit and functional tests on the app. I know it kinda sounds like an opinion-based question, but all I'm not asking for the "best" method, I just want to be pointed to a specific design pattern that can fit the need of my app.

To elaborate a little more on the type of application, it's "stage based", one button leads to a different section of the app. One main window, only error or warning popups (only one frame).

My current approach so far:
So far I've designed 3 different JPanel classes using eclipse's WindowBuilder (main menu, admin menu and user menu) and a AppGUI class that creates and empty frame with a CardLayout layout and fills it with one of the 3 panels (starts with main menu). Then the buttons on such panels point to the next panel. (Example, main menu -> user menu -> create profile)
The panels need to communicate with the AppGUI instance in order to execute the panel changes and later on, the functionality that the other options will have. To do this, I've been passing the AppGUI instance as a parameter to the panels on initialization and storing it inside each panel (I first thought of having a singleton AppGUI and have static reference to it, but I later on read that it's bad practice, specially for later mock testing).
Also I'd like to have the logic for the application on different classes other than the GUI classes and I'm not sure if passing the AppGUI as parameter to every method out there is good practice or not

In conclusion, it would be great if someone could point me to a specific design pattern for this kind of GUI, thanks in advance!