Stanley was a boring fellow, as the Narrator calls him. Stanley has a job which demands nothing of him, and every button he pushes is a reminder of the inconsequence nature of his existence. Look at him, pushing buttons, doing exactly as he was told. Now, Stanley's pushing buttons. Now he's eating lunch. Now he's going home. Now he's coming back to work. The Narrator said one might simply feel sorry for Stanley, except that Stanley had chosen to accept his life.
However, in Stanley's mind, he could go on fantastic adventures in unknown new lands, although he reminds himself, that none of those imaginations would ever happen to him each time he returns to work. Stanley imagined himself where one day, he steps out of his office to find his boss, his co-workers and every human in the building has disappeared mysteriously from the face of the earth. This imagination excited Stanley terribly.
Then, Stanley imagined, that he will come across two open doors, that'd lead him to many different places. Down one path is a Mind Control Facility located deep down in the building, down the second path is a yellow line that weaves everywhere. Another path has many games instead. And what does Stanley called it? The Stanley Parable.
This grand imagination of Stanley makes him enjoy repeating it over and over, hoping that if he walked down another path, he'd find a new story. This paradox inside him makes him feel so free.
In reality, all Stanley does is pushing buttons, nothing had changed, and the more he imagines his Parable, the more Stanley forgot which life is the real one. The Narrator claims Stanley can only be an observer, as long as Stanley stays there, every second Stanley spends in his office, he's slowly killing himself. The Narrator admitted he is unable to make Stanley look at himself, not in the way the Narrator intended.
HL2 Mod Storyline
The story was present in the original Half-Life 2 mod The Stanley Parable. Although the story is similar in nature with the HD Remix story, the Narrator described Stanley here as an employee whose job of pushing buttons demanded little of him, and that Stanley's job felt just like his every day. Stanley just kept pushing the buttons without question or judgement. Every buttons he pushed form sentences which mean absolutely nothing at all.
Stanley himself could never make a decision. His co-workers hadn't actually disappeared from the Office, and The Stanley Parable was merely a delusion of Stanley, which proves to be fatal according to the Narrator. Stanley even questioned himself if he will be happy by simply pushing buttons like always.