This short introductory mission will give you some basic insight on how the game plays.
Get acquainted with the web-slinging mechanics before receiving a call from Captain Yuri Watanabe of the New York Police Department, who has evidently been working with Spider-Man for some time. After the chat, you'll receive your first waypoint: this yellow marker represents a checkpoint for story missions, as well as a way to start them when roaming the city. In this case, follow the waypoint to Times Square. There, after a cutscene, you'll find yourself in your first battle against some of Wilson Fisk's thugs.
Follow the onscreen instructions to defeat the thugs, starting with a Web Strike, executed by pressing 
, to quickly close the distance between Spider-Man and the gun-toting thugs. As your health is limited (as indicated by the health bar in the top-left corner of the screen), make sure to dodge regularly with 
whenever the Spidey Sense prompt pops up over Spider-Man's head. If playing on Spectacular difficulty, the thugs will take a bit longer to defeat and they'll be dealing more damage, so hold 
when approaching them to launch them into air combos. After finishing a combo, the thug will be knocked back, so make sure to use to zip back toward him and finish him off. Keep in mind that you can also dodge in mid-air, as Spider-Man will zip to the side using his webs.