Short Opinionated Answer
The "truth" behind Socrates forced suicide though is not in the proceedings. The far reaching meaning is what Plato ascribes. Average People cannot be trusted with self governance. Democracies fail to protect minority's from the tyranny of the majority. It's why the founding fathers of the United States did not trust Democracies, and never intended to create one. That is why most countries today are Republics and not true Democracies. It's why in the United States we have an electoral college which has overturned 2 or our last 5 Presidential elections. Hell it's why in the original Constitutions people didn't even get to vote for their president or senators directly.
Longer more PC Answer
I would argue if you are invested in the blow by blow what happened, it's not very accurate at all. That's not a bad thing. Stone is not completely "honest" to the ancient Greek sources because the primary sources were not about honesty or a true account of the proceedings. They were both about framing the catastrophe and ascribing meaning to that catastrophe.
(*)What passes for primary sources about the history of the trial and execution of Socrates are: the Apology of Socrates to the Jury, by Xenophon; and the tetralogy of Socratic dialogues — Euthyphro, Crito, and Phaedo, by Plato. Xenophon was a young boy during the trial, and was away fighting in a Persian war during the execution. Plato says himself he was not present during Socrates execution. So they are both at best second or third hand sources who did not witness any or significant parts of the trial.
(*)I discount here Aristophanes and his comedy, Clouds, Birds and Frogs portray of Socrates teaching methods. Because while they may have been part of the trials they predate the trials and are of a genre of questionable merit when trying to view a accurate picture of what occurred.
Neither (Xenophon or Socrates) were interested in describing the trial from a historical point of view. They are more interested in imparting their own meaning behind the trial. Both concern themselves primarily with answering questions that arose after the trial than about the actual proceedings or charges. In particular, Xenophon and Plato are concerned with the failures of Socrates to defend himself. And of coarse they both disagree on what meaning to decree from this. Xenophon asserts that Socrates dealt with his prosecution in an exceedingly arrogant manner, or at least was perceived to have spoken arrogantly. Conversely, while not omitting it completely, Plato worked to temper that arrogance in his own Apology. Xenophon framed Socrates’ defense, which both men admit was not prepared at all, not as failure to effectively argue his side, but as striving for death even in the light of unconvincing charges. Gabriel Danzig, in his recent book "Apologizing for Socrates: How Plato and Xenophon Created Our Socrates" interprets it, persuading the jury to condemn him even on unconvincing charges would be a rhetorical challenge worthy of the great persuader. Xenophon uses this interpretation as justification for Socrates’ arrogant stance and conventional failure. By contrast, Plato does not go so far as to claim that Socrates actually desired death, but seems to argue that Socrates was attempting to demonstrate a higher moral standard and teach a lesson, although his defense failed by conventional standards. He lost, and had to drink poison. This places Socrates in a higher moral position than his prosecutors, a typical Platonic example of absolving "Socrates from blame in every conceivable way.
Suffice it to say the primary works don't put much effort into relaying what actually occurred, both are more about attributing the greater meaning and motivations, and both disagree on what those meanings were.