The dry martini recipe and naming it The Vesper is Fleming's, but the film adds the action beats of the parkour chase, the airport sequence and the collapsing Venice house: Vesper commits suicide in the book, but not by locking herself in a cage in a sinking building. The torture scene with the bottomless wicker chair is from the book (with the slight change that Fleming's carpet beater becomes a knotted rope), although Fleming is more interested in the psychological toll while the film concentrates more on the physical.
In the book, however, Le Chiffre is in hock to SMERSH not Quantum, and the card game is Baccarat not Poker. The broad plot of Le Chiffre losing the money of his powerful clients and trying to win it back at the casino while Bond attempts to mess up his plan is straight from Fleming.
In many ways the film is the most faithful Fleming adaptation for decades, but there are plenty of differences too, most of which come with the update. Fleming's first Bond novel - with its rights finally available again having been tied up since the 1960s spoof - formed the basis of the official film series' reboot at the start of Daniel Craig's tenure.