In the first paragraph (either of chapter 1 or the prologue), not at all. It's pulling everything from pre-training, so it is likely relying just as much on all the visual mediums like the Peter Jackson films, the animated The Hobbit (1977), and all kinds of random depictions of Tolkien's works.

Bilbo's house is actually described in The Hobbit and the exterior isn't really described at all in Fellowship. The prologue of Fellowship (Concerning Hobbits) mentions hobbits like round doors and windows and the fact some hobbit homes are underground, but the turf-dome design here is not mentioned. It actually mentions hobbit homes typically have bulging walls, so unless you've read the The Hobbit, you might not picture this entirely-underground style.

In The Hobbit, his home is described as a (nice) hole in "The Hill" with a perfectly round front door and round windows, which could imply the design here.

Right, yeah I asked because I assumed it copied the look from the movie. I think it'd be more interesting to do this for something that hadn't been adapted (yet). The first chapter of Neuromancer perhaps