On the whole, it is fair to say that Plato has a low opinion of democratic societies. Your assignment is (i) to state Plato's case against democratic societies as forcefully as you can and (ii) either to criticize that case or to defend it against objections. 

     In spelling out Plato's indictment of democractic societies, you are free to draw upon material found anywhere in the Gorgias or Republic, but I suggest that, in addition to Socrates's conversation with Callicles in the Gorgias, you focus on (a) Republic 487b-497a, where Socrates explains why philosophy is unpopular among the general populace (see The Unruly Crew at 488a ff.) and how in democratic societies philosophy is easily corrupted into sophistry (see The Wild Beast at 493a); (b) the allegory of the Cave at 514a ff.; and (c) the discussion of the democratic personality and the deterioration of the democratic personality into the dictatorial personality at 555b-576b.