The film is currently in production, and so there wasn't much to show of actual webhead action (though we did see him suit up very briefly at the end of the sizzle reel along with a quick glimpse of new villain the Vulture). But what we did see felt very different from a standard MCU movie. The clip started with a montage of yearbook images showing all the Marvel heroes (Iron Man, Black Widow, Cap, a nerdy Bruce Banner) as they did when they were in high school, while Joan Jett and the Blackhearts' "Bad Reputation" (a.k.a. the theme song to classic the classic high-school TV show Freaks and Geeks) played.
Then we got a lot of Peter Parker in high school action, with a racially mixed Queens Midtown High that feels much more 21st century New York City than previous versions of the character (Flash Thompson is now Indian, for example). Peter proves his brilliance in the classroom, sneaking a watch of YouTube videos of him fighting Giant Man while also managing to answer questions in class, or mixing his web fluid up under his desk when he's supposed to be doing a classroom science experiment.
We also see him and his friend staring, mouths agape, at the girl classmates, which another female classmate tells them is creepy. The girls are playing F, M, K but with Avengers, and one of the girls (played by Zendaya) seems to think Spider-Man is hot, which definitely intrigues Peter. It all culminates in Peter running down a hall ripping open his shirt to reveal his costume, before a few quick glimpses of Spidey in action (including doing some actual wallcrawling).