The plugin editor can be shown by double-clicking on the plugin within the processor box. A new window will appear showing the editor/GUI for the plugin.
If a plugin does not have its own GUI, Ardour will construct a generic plugin editor from a small set of common control elements. Ardour will do this even for plugins that have their own, if Edit > Preferences > GUI > Use Plugins' own interface instead of Ardour's is disabled.
The generic UI can be temporarily switched to by right clicking on a processor and selecting Edit with generic controls. This is necessary in order to access the plugin automation controls.
In the generic UI, any controller can be reset to its default state by Left-clicking on it.
At the bottom of the generic plugin editor, clicking the arrow displays the Analysis Graph.
This graph displays:
The transfer function plots the output amplitude of the plugin (considered as a "black box") against its input amplitude, along the audio spectrum.
The phase response, that can be switched on or off using the Show phase checkbox, plots the phase of the plugins output against its input phase, along the audio spectrum. The scale is shown in yellow on the right.
The green spectrum plots the output signal spectrum, after the plugin (for tracks that have a signal on).
The dB scale selector in the bottom left allows to change the vertical scale of the graphs.