Not just the props - everything thing from Sugar Bombs and Nuka Cola to the interiors of the vault, the abandoned houses and even a certain drive-in theatre - but even story presentation details like the part at the very start of the very first episode where our vault dweller character presents herself in a way that is lot like the choice of character traits in the game.
Mind you, the story develops and goes deeper way faster than in the actual game (you end up discovering way more of the lore in Season 1 than from playing the games, IMHO) and it has of course a lot more depth in the human relationship between characters side, but all in all it feels like home if you played and enjoyed the games.