This chapter is pretty faithfully represented in the film, although, as usual, there’s more depth to the events that occur.
When Hagrid makes his entrance to the shack on the island where Uncle Vernon has brought the family, he doesn’t mistake Dudley for Harry as it’s depicted in the film. It’s also the first instance of someone commenting about how much Harry looks like his father, but he has his mother’s eyes.
Uncle Vernon threatens Hagrid with a gun, but Hagrid plucks it from his hands and easily bends it into a ribbon. Hagrid also starts a fire in the fireplace.
There’s a more detailed conversation where Hagrid is aghast that Harry knows nothing about Hogwarts or the Wizarding World. As he gets increasingly louder, the Dursleys grow more afraid. Uncle Vernon finally does assert himself and forbids Hagrid from telling Harry anything about his parents and where they came from.
After Hagrid ignores Vernon and does tell Harry, Hagrid must send word to Dumbledore and whips a live owl out of his pocket and scribbles him a note, therefore contradicting the movie where a short time later Hagrid claims he can’t write (how would he have made it as far as he did in Hogwarts as seen in Harry Potter and the Chamber of Secrets?). In this case, he just says he can’t spell Voldemort’s name when he’s filling Harry in on his story.
Harry’s backstory has more depth. His father and mother were headboy and headgirl during their time at Hogwart’s. Uncle Vernon tries to get the courage to explain it all away, but Hagrid again intimidates him into silence.
This is a short chapter that sets up more of Harry’s backstory. Most of the important details make it into the film, thankfully.
Previous chapter (link): Harry Potter and the Sorcerer’s (Philosopher’s) Stone Chapter 3: Letters From No One
Next chapter (link): Harry Potter and the Sorcerer’s (Philosopher’s) Stone Chapter 5: Diagon Alley