In the cartoon, Elmer expects to find rest and relaxation at Jellostone National Park, but he mistakenly sets camp in the neighborhood of Bugs' rabbit hole, and Bugs (and a neighboring bear) don't have much leisure in mind. It was the first Bugs Bunny cartoon directed by Robert Clampett, with a story by Dave Monahan and musical direction by Carl Stalling. Sid Sutherland is the only credited animator, although at least three more, including Rod Scribner and Robert McKimson, animated on the short as well. Mel Blanc provided the voices for Bugs and the bear, and Arthur Q. Bryan provided the voice for Elmer
Elmer, riding in his old jalopy (whose eccentric rear axle and wheel do the Conga "kick" and beat), makes his way to Jellostone National Park (a clear reference to Yellowstone National Park), where the sign by the entrance promises "Rest and Relaxation" and "a Restful Retreat" (or, in Elmer's usual diction, "West and Wewaxation" and "a Westful Wetweat"). Elmer pitches a tent (near Bugs Bunny's rabbit hole), and sets up camp by putting a fire stove, a mirror and a table to wash his face, and a hammock. However, he gets annoyed when Bugs unpitches and takes his tent, but gets it back, tied up in knots. Bugs welcomes Elmer to Jellostone (confiding to us "Oh, brother!") Then he pushes Elmer's hat over his eyes. When Elmer reaches into the hole to grab Bugs, Bugs ties up his fingers. He tries to prevent Bugs from getting out of his hole by hammering a board, saying that he can't get out of that. However, Bugs does get out of that, and mimics Elmer's weight and what he previously said, labeling it "phooey". Elmer lies down in his hammock and soon falls fast asleep, muttering to himself.
Bugs then appears from the rabbit hole by Elmer's campsite. He takes a pair of glasses, paints them black, puts them on Elmer's face and sets Elmer's alarm clock to go off. Elmer now thinks it's night (since everything seems so dark), so he gets undressed and goes to bed. Bugs then takes the glasses off and crows like a rooster, making Elmer think that it's the next morning.
When Elmer goes to wash his face, Bugs keeps the towel at a distance with a branch, causing Elmer to blindly follow the towel. (As Bugs tells the audience, "I do this kind of stuff to him all through the picture.") Elmer then almost falls off a cliff. He then, looks at the miraculous view of the Grand Canyon. But just when he sees that Bugs is the one pulling these gags, Bugs runs off, with Elmer giving chase after retrieving a gun from his tent.
However, when he tries running after Bugs with his rifle, he winds up running into a black bear instead. The bear starts growling, and so Elmer turns to a wildlife handbook for advice, which states (letters Elmer substitutes for W are italicized):
"When confronted by a grizzly bear, lie flat on the ground and play dead. Above all, remain absolutely motionless!"
The bear soon gives up (after sniffing Elmer's "B.O." - his feet), but Bugs has more fun with Elmer when he climbs on Elmer and starts growling exactly like the bear (“Funny situation, ain’t it?”). Just as Bugs starts biting Elmer's foot, Elmer sees what's going on and grabs his rifle. Bugs runs away when the bear returns and Elmer ends up hitting the bear instead. A chase then ensues with Elmer and the bear running through the trees to the chase sequence of William Tell. Finally, the bear freaks Elmer out when he rides on top of him.
Eventually, Elmer gives up and quickly packs everything back into his car (including, at first, the tree that was next to his tent). On his way out, he stops back at the sign and reads it again. This makes him think that it's baloney, and to teach the park not to give false advertisement he starts chopping the sign to bits. The park ranger then appears, a stern look on his face. Elmer is then shown in prison for destruction of government property, where he's thankful that he's finally "wid of that gwizzwy bear and scwewy wabbit! West and wewaxation at wast!" But he turns to find out that somehow he's sharing his cell with both Bugs and the black bear. (Each of them chews a carrot and asks, "Eh, pardon me, but ... um, how long are ya in for, Doc?")