2018 was a great year for PlayStation 4 players because it was back then when we got Insomniac Games' Spider-Man. PlayStation 5 is coming out in Europe on November 19, and we are getting a digitally remastered version alongside Spider-Man: Miles Morales at launch.
At the moment a remastered PS5 version of Spider-Man is only available if you buy the Miles Morales Ultimate Edition bundle. This includes Spider-Man: Miles Morales and Spider-Man Remastered (and its DLCs). But there is a catch: you can't transfer your regular PS4 Spider-Man save file to this new Remastered version, and continue playing where you left. This was confirmed by Insomniac Games on Twitter.
Judging by Insomniac Games' communication, it seems that the studio is not yet sure how are it will sell us the new and remastered Spider-Man games on PlayStation 5. So things might change in the very near future.
Update: Here's Sony's statement on the matter:
Marvel's Spider-Man: Remastered is an enhanced version of Marvel's Spider-Man, and is included as part of Marvel's Spider-Man: Miles Morales Ultimate Edition for the PlayStation 5. In addition, players who purchase Marvel's Spider-Man: Miles Morales on PlayStation 4 can upgrade at no additional cost to the PS5 version of Marvel's Spider-Man: Miles Morales and can take advantage of a paid-upgrade to download Marvel's Spider-Man: Remastered.
There are no plans currently to offer Marvel's-Spider-Man: Remastered as a standalone. Players with a copy of Marvel's Spider-Man for PS4 can purchase Marvel's Spider-Man: Miles Morales Ultimate Edition to experience Marvel's Spider-Man: Remastered on PS5. Marvel's Spider-Man for PS4 also will be backwards compatible on PS5.
Thanks, Games Industry