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As /u/Bernardito said, more specific questions would help provide us with some context to answer your questions. I am also here to answer any questions you might have about the period.
What have you seen that you find shocking?
Are there any particular claims in Oliver Stone's series that you are curious about? As your question stands right now, it's just not specific enough for this subreddit. However, if you could mention some of the things that you might be skeptical about or that you're wondering really happened the way it is portrayed in the series, that would make it easier for us.
For example, I personally answered a question about a claim made in the series in which it was claimed that the US dropped napalm during the Greek Civil War.