First of all, The Wrights are very accommodating and warm as hosts. After a long day of flying and arriving in Brooklyn quite late in the night, my friend and I received a warm welcome. They are very prompt in responding to any concerns. For example, when we came back soaked and couldn't find the AC, they resolved the issue immediately upon receiving our request.
The room itself has a queen-sized bed and two bar stools and a small table. This worked well when my friend and I ordered late-night food to share. There's also a TV in the room but we never bothered turning it on. The bed can squeak a bit, but it's not a big deal. There are enough outlets in the house to charge cameras, laptops and etc.
The common room is spacious and kept very clean, with a proper table to seat four. There are various snacks (I think my friend and I went overboard on the fruit snacks!) that were great for on-the-go mornings. A minor inconvenience was that the bathroom is a bit minimalist, since the space is snug and there are no hooks. I'd suggest bringing your own lotion/beauty essentials and a bag to separate your clothes.
I can't speak on the public transportation aspect because we only used Uber/Lyft to get around. Overall, my stay at the Wrights' was a comfortable one, and I'd definitely recommend it if you're also a student traveling on a budget!