Spider and Web begins innocuously enough: the player's character, an apparent tourist, has wandered into a blind alley.
Upon trying to leave the alley, however, the character is confronted by a voice sneering that this is a lie and threatening dire consequences if the truth is not told.
Gradually, the player pieces together that the main character is an unnamed spy who is being interrogated by an equally anonymous enemy.
Through interruptions and prodding, the interrogator reveals that the spy was captured in the process of infiltrating an installation under the guise of a tourist.
Thus, the player's main goal is to tell the captors a plausible story to explain what they already know (or more precisely, what they think they already know).