The Gryphon appears to be somewhat overbearing and dismissive of the obsessions and dismays of other characters, such as the Mock Turtle's sorrow and the Queen of Hearts' executions, neither of which (according to the Gryphon) have any basis in fact.
In Alice's Adventures in Wonderland, the Gryphon features with the Mock Turtle in Chapter 9, "The Mock Turtle's Story", Chapter 10, "The Lobster Quadrille", and briefly at the start of Chapter 11, "Who Stole the Tarts?".