The events are presented consequentially, one by one. So it's easier to understand the plot of the story.

The story begins with exposition, which supplies us with explanatory information to help us to comprehend the given situation.

"THE SEXTON stood in the porch of Milford meetinghouse, pulling busily at the bell rope. The old people of the village came stooping along the street. Children, with bright faces, tripped merrily beside their parents, or mimicked a graver gait, in the conscious dignity of their Sunday clothes. Spruce bachelors looked sidelong at the pretty maidens, and fancied that the Sabbath sunshine made them prettier than on weekdays. When the throng had mostly streamed into the porch, the sexton began to toll the bell, keeping his eye on the Reverend Mr. Hooper's door."

Getting acquinted with minister's appearance, we face with climax. The narrator describes the man, Mr. Hooper, as a clerically-dressed man around the age of thirty. There is, in fact, nothing different about this man except for the object which prompts a number of uncomfortable responses from his parishioners, which is the black veil that obscures most of his face.

" Mr. Hooper gentlemanly person, of about thirty, though still a bachelor, was dressed with due clerical neatness, as if a careful wife had starched his band, and brushed the weekly dust from his Sunday's garb. There was but one thing remarkable in his appearance. Swathed about his forehead, and hanging down over his face, so low as to be shaken by his breath Mr. Hooper had on a black veil."

Then the anticlimax goes, it is expressed throuth the attitude of citizens to the minister, they gossip about the mystery of the veil, try to avoid him. It makes me think that while they are so concentrated on the minister's veil and seeing his outward expression of sin, they could overlook their internal crimes.

"The next day, the whole village of Milford talked of little else than Parson Hooper's black veil. That, and the mystery concealed behind it, supplied a topic for discussion between acquaintances meeting in the street, and good women gossiping at their open windows. It was the first item of news that the tavernkeeper told to his guests. The children babbled of it on their way to school. One imitative little imp covered his face with an old black handkerchief, thereby so affrighting his playmates that the panic seized himself, and he well-nigh lost his wits by his own waggery."

The story ends with the minister's death. Bearing his sad smile he claimed that people around are hypocrites, as they all wear “black veils” and shield their eyes from God when they confide in others. So that's conclusion of the story.

"While his auditors shrank from one another, in mutual affright, Father Hooper fell back upon his pillow, a veiled corpse, with a faint smile lingering on the lips. Still veiled, they laid him in his coffin, and a veiled corpse they bore. him to the grave"

The given passage is a narration with elements of dialogue.