LORELAI: Are you sure you wanna go to this thing?
MAX: You’ve been talking about these town meetings for months. I’ve got to see one for myself.
With Max attending a town meeting in Stars Hollow with Lorelai and Rory, you can see that he is trying to adapt to her world, and become a member of her family. We know this was his idea, because he says that he felt that he had to attend a meeting since Lorelai talked about them all the time. Lorelai appears rather reluctant, as if she is not sure about having Max become part of her everyday life so quickly.
Town meetings seem to be held on the second Thursday of the month, so this could be Thursday 10 May.