In several places, most notably the discussion of the "Allegory of the Cave" in The Republic, Plato's Socrates identifies the Ideal of the Good as the singular source of all good things in the universe. Plato's followers, the Neoplatonists, further identified this Idea of the Good with God, a perspective that was very influential on early Christian theology.
If the Neoplatonists were correctly interpreting Plato, and if Plato was accurately depicting Socrates, then we might reasonably conclude Socrates was a closet monotheist. He certainly speaks of the gods in a non-standard manner in Plato's dialogues --in fact, guiding youth to disbelieve in the Greek pantheon was one of the main charges against Socrates in the trial that led to his eventual execution.
The following is a set of excerpts from a lengthy section in Book II of The Republic where Socrates/Plato explicitly dismisses much of what is commonly taught about the gods as lies. The last statement in particular, although it references "every god", certainly appears to imply monotheism, if followed through to its unspoken conclusion (as there can only be one "fairest and best" thing conceivable).
Neither, if we mean our future guardians to regard the habit of quarrelling among themselves as of all things the basest, should any word be said to them of the wars in heaven, and of the plots and fightings of the gods against one another, for they are not true...
Then God, if he be good, is not the author of all things, as the many assert, but he is the cause of a few things only, and not of most things that occur to men. For few are the goods of human life, and many are the evils, and the good is to be attributed to God alone; of the evils the causes are to be sought elsewhere, and not in him...
Then we must not listen to Homer or to any other poet who is guilty of the folly of saying that two casks lie at the threshold of Zeus, full of lots, one of good, the other of evil lots...
Shall I ask you whether God is a magician, and of a nature to appear insidiously now in one shape, and now in another --sometimes himself changing and passing into many forms, sometimes deceiving us with the semblance of such transformations; or is he one and the same immutably fixed in his own proper image?...
Then it is impossible that God should ever be willing to change; being, as is supposed, the fairest and best that is conceivable, every god remains absolutely and for ever in his own form.
http://classics.mit.edu/Plato/republic.3.ii.html