It begins by concluding the Season 5 cliffhanger, Times Arrow. Thereafter things progress steadily if not spectacularly. Overall, it's not the most memorable season for fans of TNG, but there are some notable episodes that need to be watched. I don't feel that any of them are actually the best the season has to offer, but they each have lasting consequences. Some examples are:
Ep. 20: The Chase, an episode that explores a question that a great many observant Trek fans have been asking themselves since the TOS days.
Eps. 16+17: Birthright Parts I+II has two separate stories linked by a common theme, the conclusions of which will both be referenced again later; in addition to that a part of the story takes place on a station that many Trek fans will recognise.
Without going into detail, there's a single episode wherein an old face makes a welcome return to the world. And, interestingly, a couple of the guest actors in later episodes would go on to play different but more prominent roles in later Trek adventures; James Cromwell (First Contact) and Tim Russ (Tuvok; VOY).
Elsewhere Capt. Picard gets to prove he has true grit by single-handedly saving the day; Riker's mindset is severely tested, as is Data's sense of right and wrong; Worf lets his hair down; Councillor Troi gets to have some genuine fun for a change; Doctor Crusher has some bridge action; and Geordi typically finds himself in a creepy, stalker-esque kind of romance.
If you take note of the credits you'll maybe notice that three of the regular cast pulled a double shift once or twice by being both in front of the camera as actor and behind it as director, LeVar Burton (his first time), Patrick Stewart (third time), and Jonathan Frakes (fourth time).
And then, for the final time with TNG, there's an end of season cliffhanger that's not resolved until the first episode of Season 7.
26 episodes, approx 44 minutes each.
4 inconvenient laws of physics out of 5