Romantic spots, movie theatres (ones that show recent movies), grocery stores (gotta be some within the area), bookstores...
I think it all depends on what you would be doing while in Grad School, and what you like doing. For example, I currently do not have a driver's license, so everything has to be within a walk/bus ride/bike ride away. I like biking, (I'm a total noob though), so bike lanes and bike paths are a thing I'd look out for. I like to at least try to cook, so any foodie places would be something to look into (but not a must). I will have days where I would rather be doing nothing, or do not have the energy to cook, so nearby takeout spots or pizza places, like a Papa Johns, would be right up my alley.
You're obviously not going to know how livable a place is after a day (unless it was really, REALLY bad), so I guess you should ask yourself what's most important to you, and look for that.