As you can see, Roget is the Saurus. It's sort of like being The Man, except he is a dinosaur. This isn't the first dinosaur sitcom -- the live-action Dinosaurs somehow ran for four seasons in the early '90s despite every episode being 30 minutes of a baby dinosaur shouting "Not the mama!"
Roget naturally has his own completely original catchphrase ("Dino-MITE!"), but the show borrows more from ALF than anything, placing the reptile-out-of-water in the home of a bewildered suburban family. It's sort of a comedy of manners, at the intersection of American middle-class values and dinosaur culture, leading to hilarious misunderstandings where Roget displays his ignorance of baseball or inadvertently eats a classmate.
In later seasons, Roget's the Saurus might go beyond escapist comedy and attempt to tackle some tough topical issues, like gay marriage (he accidentally eats a gay couple) or drugs (he accidentally eats a drug dealer).