Can I just read the third book after watching season 2?

A few days ago I made a post here asking if I should even bother binging the rest of season 2, as I had watched the first two episodes of it as they were airing, and was pretty bored by them. It seemed when I searched for audience reactions to the season online, they were generally quite mixed or downright negative, many people were saying nothing happens, it's very slow, the show went down the drain, etc.

But when I checked the responses to the post I had written, everyone in here was saying that I need to watch it. So within just a few days I binged through the entire remaining 8 episodes of the season, and I am very happy I did. The season was slow but the mysteries were interesting, and the final two episodes were as great as everyone here promised. I am absolutely dying to know what Lukas said to Bernard and what Juliette figured out about the Safeguard, and I can't wait another probably two or more years for season 3 since this one just wrapped up airing a few weeks ago.

I want to start reading from book 3 to satiate my curiosity but I'm aware there are some differences between the show and books. Are these minor enough that I can just read a list of them or something, such as the differences with the stairs (I did read the Holston portion of the Silo Omnibus back when I finished season 1 about a year or so ago, borrowed it from my friend who has read the entire series thus far and owns the books) and jump in where season 2 ended, or are they so different that I'd need to read the book series from the start?