I ended up not getting into any PhD programs that I wanted, but I am still happy because I've accepted an offer at a university to get my Master's in Clinical Mental Health Counseling :)
The MCAT has a similar section to that and really there's no way to study for it, you either end up with easy passages that make some blatant sense or you end up with something that is too tricky anyways, so with a long test my only advice for that would be to flag and pass the obviously more difficult passages and save them for later (I believe you can do this in the GRE as well).
Also for any verbal reasoning get all the questions first and get an idea of what you're looking for so you don't actually have to read the entire passage, since like 60% of the passage will probably be some level of fluff.
I am also taking the general GRE but there are 3 sections: verbal reasoning, quantitative reasoning, and writing.
I am least worried about writing, and most worried about the math. I don't know how to effectively study for the verbal reasoning other than briefly expanding m y vocabulary and familiarizing myself with question types.
She said she just did the general GRE test, not a subject test so not sure how that compares but she did the princeton review book actually and studied for the math section the most since that was what she was most worried about, there was no calculus and it was basically the SAT again.