Does the Spice and Wolf anime follow the same events as the manga
Both manga and anime generally follow the novels well, but there are differences between them:


The two seasons of the anime adapt volumes 1,2,3 and 5 of the novels, skipping volume 4.
The manga does not skip volume 4, but has yet to catch up with the anime.


Personally, I would suggest you to take a look at everything, it's all awesome :P