"Dr. Crusher" (Gates McFadden) reports to "Capt. Picard" (Patrick Stewart) that a member of the crew is in real need of a break, and suggests a vacation. It turns out that that crewmember is the captain himself.
On strong reccomendation by "Cmnd. Riker" (Jonathan Frakes), "Picard" goes to the planet "Risa", a popular vacation spot in the sector.
On "Risa", prior to the captain's arrival, two aliens arrive on "Risa" looking for him. They quickly learn they need to wait for him.
Shortly after his arrival, "Picard" encounters a "Ferengi" (Michael Grodenchik) and a human female named "Vash" (Jennifer Hetrick) who is in possession of a mysterious optical disc.
"Picard" then encounters the two aliens who were in search of him prior to his arrival. They claim to be from the 27th century for the "Tox Uthat," a powerful secret weapon.
"Picard" discovers that in a previous encounter with "Vash", she slipped her disc into his pocket and confronts her about it. She says that disc was given to her for safekeeping by the archeologist who discovered the location of the "Tox Uthat" prior to his death. The two then join forces to search for the weapon, which resembles a cut jewel, while dodging the "Ferengi".
This episode is entirely "Picard's", as it only follows his adventure searching for the "Tox Uthat". Unlike other episodes, this doesn't have a subplot for the rest of the cast to do so they only appear at the start and ending of the episode.
Stewart and Hetrick play off each other pretty well, and appear quite comfortable together. Grodenchik also does a good job, and makes you forget that he is "Rom" from Star Trek: Deep Space Nine, the role he is best known for following this appearance. The two aliens who search for "Picard" and the "Tox Uthat" appear stiff in their performance, but that is by design. As for the rest of the regular cast, they obviously are having fun trying to get their commanding officer to go on vacation.
The scenery is quite boring. It is obvious that the entire "Risa" sets are a soundstage. I would have personally accepted if they added footage of a tropical setting to help putting over "Risa" is suppose to be a planet with a warm climate known as a vacation spot. Also, there is a lack of technology in this episode for "Picard" to use, but that might have been the plan.
"Captain's Holiday" is not your average TNG adventure. It's worth checking out.