Oh how I miss the Square! After renting an apartment in the Theater district (and working in Boston - yeah complicated), I had my occasional visits to Market Square. It started out with NOLA (whose food I enjoy - crispy Alligator!! and the potent Hurricane) to Winghart's (great burgers at a good price), then Starbucks and Dunkin (having lived in New England for so many years, I am a fan of DD), and finally Chipotle and Las Velas (Mexican). Well, the food drew me to the Square most of the time, but I soon found out that there was more to it - the Christmas tree lighting, the skating rink, the beginning and end of all events - farmers market, St. Patrick's day drink fest, a Christmas/Winter festival, live music and dancing. So now in spite of being a good 20 min drive away, I find any opportunity to visit Market Square when I am in the vicinity.
The roads are paved here and parking is difficult (but not impossible) and during the daytime you will experience a lot of human traffic, however the hustle and bustle of the place, the liveliness, and people-watching is what makes Market Square even more fun! Agreed that the place is lacking greenery but nonetheless a fun place to visit.