After watching the entire series on bluray, I have to say that the overall quality of every episode is remarkably consistent. Patrick Stewart as Captain Picard is undoubtedly brilliant, and Brent Spiner is not far behind playing the android Data. The rest of the "gang" fits in nicely, although I don't enjoy the character Worf as much and every episode with him as the main character is not as good as the others. But on the whole it is a great show with interesting reoccurring moral predicaments and philosophical questions about the understanding of humanity. As someone pointed out, the world would be a lot happier place to live in if its leaders would sit down and watch the show and learn from it.
After you finished watching the series, the perfect "epilogue" would be the only really good Star Trek film, Star Trek: First Contact (1996). An excellent finale of the whole Star Trek TNG experience, which also connects with the episode Q Who? (S2E16) where the Federation first encounter the Borg.
So, if you've never seen Star Trek before, this is the way I would start, because it is simply the best of Star Trek.
After you finished watching the series, the perfect "epilogue" would be the only really good Star Trek film, Star Trek: First Contact (1996). An excellent finale of the whole Star Trek TNG experience, which also connects with the episode Q Who? (S2E16) where the Federation first encounter the Borg.
So, if you've never seen Star Trek before, this is the way I would start, because it is simply the best of Star Trek.