Patisserie 46 is a highly acclaimed bakery / confectioner.
I'm also a vegetarian. I would suggest Travail, but they are closed for July. Heartland (James Beard nominee) offers a daily 3 course prix fix (both meat and vegetarian options). Restaurant Alma (James Beard National nominee) offers a choose-your-own 4 course tasting menu (both meat and vegetarian options). Otherwise I'd suggest some Vietnamese or Hmong options.