Democracy, the play, is as much about democracy as internet governance is about governance.  

Democracy-the-play is about trust and betrayal, people divided against themselves, true love (the spy who comes to love his target), and feelings of nonexistence (both in the spy and in the spyed-upon).  The people never enter in except as upturned faces, shouting for Willy Brandt and applauding his speeches.

Internet governance is about making rules for information flows online.  It's not about affecting the behavior of individuals (the traditional province of governments).  It's not about the prerogatives of sovereignty, because there is no sovereign in online space. It's about what is allowed to be seen and understood, by machines and people.  In the largest sense, it's about making rules for the membranes that allow information in and out of networks. 

With democracy-the-play, we can understand the title as an indirect signal of division -- everyone gets to speak, no one is understood, parties rise and fall (it's better than football, the spy claims at one point), countries spy on one another.  At any rate, the narrative, multilayer quality of the title is apparent.

So far, with the title "internet governance," we're taking the words themselves at face value.  Sure, this is all about governance.  We know what that is.  We live with it every day.

But just like the play title, the words "internet governance" should be understood much more as a narrative, multifaceted phrase.  The words say something about information flows and permeable membranes.  We say we're governing, but we're actually planning on acting in a way that wouldn't be similarly possible in the offline world:  creating barriers of code that will, we assume, constrain thought in constructive ways.  No more bad or destructive information flows, if internet governance all works out.

It all depends on context.  If you saw a play called "internet governance," you'd be thinking nuanced thoughts about what those words really meant.  Maybe, forty years from now, such a play will be produced on Broadway.  Who will be the key characters?  And what will the story line be?