"Game of Thrones" Season 4, Episode 5 is titled "First of His Name." The episode focuses on several key events and developments, including the ascension of Tommen Baratheon to the Iron Throne, the return of Bran Stark and his companions to the Wall, and the arrival of Oberyn Martell in King's Landing.
At the beginning of the episode, Tommen Baratheon is crowned as the new King of the Seven Kingdoms, following the death of his brother Joffrey. Cersei Lannister is appointed as his regent and chief advisor, while Margaery Tyrell is betrothed to Tommen in order to secure the alliance between the Lannisters and the Tyrells.
Meanwhile, Bran Stark and his companions, Hodor, Meera, and Jojen, arrive at the Wall and are taken in by Jon Snow and the Night's Watch. Bran reveals his visions and his ability to warg into animals, and tells Jon that he needs to find the Three-Eyed Raven beyond the Wall in order to learn how to control his powers.
In King's Landing, Oberyn Martell, the Prince of Dorne, arrives to attend Tommen's coronation and to seek justice for his sister Elia and her children, who were murdered by the Lannisters during Robert's Rebellion. He is welcomed by Tywin Lannister, but his presence causes tension between him and Cersei and Jaime Lannister.
The episode also features a reunion between Arya Stark and Sandor Clegane, who are captured by the Brotherhood Without Banners. Sandor tells Arya that he plans to take her to her aunt Lysa Arryn at the Vale, but they are ambushed by the Hound's brother, Gregor Clegane.
In the Vale, Sansa Stark is still a prisoner of Petyr Baelish and Lysa Arryn. Petyr tells Lysa that he plans to marry Sansa and use her to take control of the Vale, but Lysa becomes jealous and attempts to push Sansa through the Moon Door. Petyr intervenes and kills Lysa, making it look like suicide.
The episode ends with Daenerys Targaryen and her army arriving at Meereen, the largest city in Slaver's Bay, and announcing her intention to abolish slavery and bring freedom to the slaves.
In summary, the episode focuses on several key events and developments, including the ascension of Tommen Baratheon to the Iron Throne, the return of Bran Stark and his companions to the Wall, and the arrival of Oberyn Martell in King's Landing. Bran reveals his visions and his ability to warg into animals, and tells Jon that he needs to find the Three-Eyed Raven beyond the Wall in order to learn how to control his powers. In King's Landing, Oberyn Martell, the Prince of Dorne, arrives to attend Tommen's coronation and to seek justice for his sister Elia and her children, who were murdered by the Lannisters during Robert's Rebellion. The episode also features a reunion between Arya Stark and Sandor Clegane, who are captured by the Brotherhood Without Banners, and Daenerys Targaryen and her army arriving at Meereen, the largest city in Slaver's Bay, and announcing her intention to abolish slavery and bring freedom to the slaves.