Underoos!
Peter Parker’s Spider-Man was an integral part of the Civil War comic, starting the arc working for Tony Stark as both himself and as Spider-Man, receiving a natty new Stark-tech spider-suit and, in a show of support for the both the Super-Human Registration Act and Tony, revealing his secret identity to the world.
Eventually Peter turned against Tony and the Act as Stark began to deal with the anti-registration heroes, his former friends and allies, in harsher and harsher ways, imprisoning them in the Negative Zone without trial or access to lawyers, some in torture like settings due to the measures required to keep their powers in check, with Stark admitting he plans to keep them there until they accept the act, no matter how long that takes.
Spider-Man joins up with Captain America’s team and in effect the series as a whole could be seen as a coming of age for Peter and a battle for his soul as he rejects the respect he’s always longed for from his peers in the superhero community, twice and stands up for what he believes is right (but only after tussling with his heroes Cap and Iron man).
While a story of this depth would be very welcome for the cinematic Spider-Man, the fact is he is only in Civil War because Sony made such a mess of The Amazing Spider-Man 2 that they had to cancel an entire slate of movies set in the same Spidey-verse, and were at a loss with what to do with him next!
From the very brief glimpse of Spider-man at the end of the second trailer Spidey definitely isn’t rocking the infamous suit from the comics, however the mechanical irising of the eyes on his mostly fabric suit may indicate a little help from some Stark tech.
As for revealing his secret identity to the world? I doubt renouncing secret identities will be as big an issue as it was in the comics, and while Peter Parker may have been the main character in five movies over fourteen years, a big reveal like that with an actor new to the role, as Tom Holland is, wouldn’t quite have the same impact as if it were someone audiences had seen, and enjoyed, as Spider-man.
Anthony and Joe Russo, directors of Captain America Civil War have stated that they’ve “engrained the character (of Spider-Man) so deeply into the story at that point that you’d have to destroy the story to take him out” when discussing what would happen if the deal between Sony and Marvel had broken down, so there is still hope that he will be key to the plot.