In Harry Potter and the Sorcerer's Stone, what was Harry’s first lesson at Hogwarts and how did it go?

In Harry Potter and the Sorcerer’s Stone, Harry has his first lesson in chapter eight of the book. While Harry has many other classes before his potions lesson, that is the first lesson that is told in scene rather than summary. Chapter eight is titled “The Potion’s Master” and covers when Harry meets Severus Snape, the professor who teaches Potions.
The first potions lesson is a rude awakening for Harry. Just a few chapters earlier in the book, he found out that he is a wizard and that Lord Voldemort had killed his parents. Then, he found out that he was famous and experienced the wonder and joy of the Sorting Feast. His experience at Hogwarts until that point has been pretty good—especially when compared to life with the Dursleys.
The lesson with Snape, however, shows Harry that not everyone in the wizarding world is excited to meet him. Snape, for reasons unknown to Harry, seems to hate his guts. Snape begins the lesson by monologuing about the power of potions. He tells the students that if they aren’t stupid, he can teach them much about the subtle art of potions. Then he launches into questions directed at Harry.
Harry doesn’t understand why Snape is asking him these questions, but Snape is pleased that he can’t answer a single question. He says,

“Clearly, fame isn’t everything.” (Chapter 8)

This is the first time that Snape lets on that he dislikes Harry because of his fame, but that is a typical attack Snape levels at Harry for the rest of the series. It is one of the ways that Snape can get under Harry’s skin and make him angry.
After three questions Harry snaps back at Snape and Snape takes a point from him for “the cheek,” or sarcasm. Then things get worse.
Professor Snape has the class work on brewing a potion. Malfoy is praised when his potion turns out great, while Neville gets potion spilled on him and starts to get boils. Snape blames Harry for not helping Neville when he made a mistake, and Harry is angry that Snape would blame the error on him. Overall, it does not go well.
The first potions lesson introduces the reader to Severus Snape and sets up one of the most frustrating antagonists in the series. Snape is mean and cruel to Harry and other students throughout the series, but Dumbledore continuously protects him because of his position in helping to thwart the rule of Lord Voldemort. The hatred Harry feels for Snape will slowly build over the series, and this initial encounter sets it up perfectly for the reader to understand the animosity between the characters.