Finally figured out how to get root pane of PSurfaceFX; the following works on my system (macOS). Note that control is in center of window because default layout pane is a StackPane and it defaults to CENTER alignment (can be changed by code).
JavaFX control in default Processing window:
import javafx.scene.canvas.Canvas;
import javafx.scene.control.Button;
import javafx.scene.layout.Pane;
Canvas canvas;
Pane pane;
void setup(){
size(350,200,FX2D);
surface.setTitle("JavaFX control in Default Wnd");
canvas = (Canvas)surface.getNative();
println(canvas);
pane = (Pane)canvas.getParent();
println(pane);
Button btn = new Button("Push Me");
pane.getChildren().add(btn);
}
Output: