What does Mrs Dubose require Jem to do for her every day after school?
She requires him to read to her
Jem's punishment was that he had to read out loud to Mrs. Dubose, everyday after school and Saturdays for two hours for a month. He had to read to Mrs. Dubose every day after school. At one point Mrs. Dubose suggested extending the punishment, but Jem did not hesitate to beg Atticus not to extend it. He had to read to Mrs Dubose everyday after school and on Saturdays
Ms. Dubose made Jem read to her and fix her camellias. Ms. Dubose also had a morphine addiction which also frightened Jem when he went to go read to her. After Ms. Dubose passed away, she sent a perfect, waxy camellia to Jem which he took as her torturing him for all the pain he went through. Later on, Jem finds out that it is a symbol of courage.
Mrs. Dubose makes Jem read to her everyday after school. Scout usually sat with him during these times. Jem probably felt that is wasn't a fair punishment at the time, but he is genuinely helping Mrs. Dubose. She was a morphine addict and as he read, she gradually stopped taking the morphine. When she died later on in the book, Atticus told Jem that he had helped her die happy.