While the above answers are helpful, check out the site when you search for Chicago Transit Authority trip advisor. It will get you from wherever you are to wherever you want to go (nearest public trans stop), so grab the app and enjoy your dinner!
The Brown line train goes to Chicago & Franklin. It is about a third of a mile to third walk from there.
Public transportation will take you to only within 3 blocks of the restaurant. The closest bus stop would be at Chicago and Larrabee. It is a bit of a walk but one worth making.
Get quick answers from Erie Cafe staff and past visitors.