Not much happened in this episode. Daenerys really doesn't like the fact Jon Snow calls himself the King of the North and refuses to bow to her, but she does listen to Tyrion and gives Jon the Dragon Stone he wants. She stress her "rightful" claim several times but if I have Jon's lineage correct he has a better claim on the throne then she does, it will be interesting to see how she reacts when told he is Rhaegar Targaryen's son.
Sam succeeded in curing Jorah.
Jaime is still stupidly in love with Cersei, I much prefer the book where he is beginning to develop feelings for Brienne of Tarth. Jamie outwits Tyrion and Daenerys by taking a page out of Rob Stark's playbook. He left Casterly Rock and marched for the Tyrell's (Highgarden), when he poisons Olenna he learns that SHE was the one who killed Joffrey.
Brandon Stark returns home, hopefully to reveal Jon's true parentage.
Ellaria Sand, was forced to watch as Cersei poisoned her daughter Tyene. Not sure what happened to her other daughters, did they die in the battle with Euron or did they somehow escape? I think it would be really sad to see House Dorn gone from the show.