Figs will be in the stagnant, "do-nothing" stage for 2 to 3 months, depending on variety.
Then it all happens very fast; they'll change color, swell, droop, and be ripe in 5-10 days.
In Zone 6B, you'd have to have little rice grain-sized figs by July 1 to ripen in time (for early ripeners).
I have some that ripen in July, some that just start to ripen when the first frost hits.
Waking them out of their dormancy early with a hoop house, greenhouse, or sunny window helps a lot.
Pinching helps immensely.
Late ripeners need a warm September and October to ripen.
Do a search for MGGINVA's ripening order lists, as well as HERMAN2's posts.
Search PINCHING.
Congratulations on your first figs.