First of all, I am proud of you, twitterpatedlyyours, for being really into all my Star Trek reblogs even though you have apparently never seen this show? Good taste, friend.
SO. The first season of TNG is UNIVERSALLY ACKNOWLEDGED TO BE SO BAD, LIKE, SOOOO BAD. It is by now perhaps a commonplace, though the notion must have originated with a specific person, that s1 is a series of bad propaganda films about the actual characters. That said, there are some real gems lurking in there. Same goes for s2.
Here is my watching guide for these two seasons:
[I have left off some episodes, like 'Angel One,' because they are So Bad They're Good, but belong to a more advanced level (it will be covered in Trek Studies 201: Special Topics in Lamé and Bad Cultural Politics Choices). ]
- Encounter at Farpoint, or, The Pilot You Don't Yet Know How To Love, But God, Will You Love It
- The Naked Now
- Where No One Has Gone Before
- Lonely Among Us
- Haven
- The Big Goodbye
- Datalore
- Home Soil
- Arsenal of Freedom
- Conspiracy
- The Neutral Zone
- The Child
- Elementary, Dear Data
- Unnatural Selection
- The Measure of a Man
- The Royale
- Time Squared
- Q Who
- Manhunt
- The Emissary
Note that if you are into our gal BCrush, she disappears for the course of the second season, so you will miss her. But her replacement, the wry, self-assured, no-shit-taking, controversially opinionated Katherine Pulaski, is very worth watching.
Nothing bad will happen to you if you skip straight to s3.
As for DS9, I maintain that it is absolutely vital to have some experience of TNG and its world-building and its ideologies in order to adequately appreciate DS9. I have already done a TNG Primer for Would-Be Niners.