No, the Thursday Next series is more like Douglas Adams or Terry Pratchet. A weird blend of sci-fi, mystery, fantasy, etc. There are lots of subtle references to various bits of literature, word-play, and general strangeness in Fforde's vaguely parallel universe where her uncle is named Mycroft (a Heinlein reference) and people own genetically reconstructed pets like dodo birds.

Literary detective is Thursday's job. She investigates crimes involving literature. In her world, the general populace love literature far more than most of us do--there are streetfights about who actually wrote Shakepeare's plays, protests against Expressionist art, etc. If you like mystery, sci-fi, fantasy, and classic literature then you may well like these books. They are quite well-written and are pleasantly self-referential like the Simpsons.