Now the problem is, we r leaving Florence very early on 3rd and being
an extreme believer of Murphy's law, my husband don't want to go out
of city on 2nd. And that being a free day we can't buy tickets even if
we want to!! As for standing in line, we Indians are used to it.
😋😋😋😋😋. Given our population, we stand in one every day just to
buy tickets to our daily ride in subway!! As long as it is moving and
no one is cutting in, we r good.
Pimni, I'm not sure I understand what Murphy's Law has to do with a day trip out of Florence on the 2nd instead of the 1st, and I believe you are seriously underestimating the queue at the Uffizi on ANY high-season day let alone free days (Sunday, June 2nd is Republic Day and a national holiday). The Accademia will very likely be mobbed as well: online tickets are sold out for the 31st and 1st, if that's any indication. As the museums can only hold a certain amount of people at a time, those lines may not move steadily, and you don't really have hours to waste standing in them.
Interestingly, the Pitti and Boboli do not appear to be free on June 2:
https://www.uffizi.it/en/magazine/12-free-admission-days-as-an-opportunity-to-reflect-on-cultural-heritage
They are selling online tickets for both on the website.
IMHO, Pisa can be skipped with so little time for Florence, and the suggestion for booking the Walks of Italy Tuscany trip is a good one as it will eliminate figuring transport for 6 people, keep you on schedule plus provide narration. I see they offer this tour on both the 1st and 2nd of June. With an escorted tour, there's no reason, really, not to move your day trip to the 2nd so you could order Uffizi tickets for a remaining time slots available on the 1st .
But concerning the Uffizi, there's no need to see it at all unless you are keenly interested in art. Florence is full of art - particularly Renaissance art - so there are other opportunities for visitors with just passing versus deep interest for getting a look at some priceless works without spending hours in a free-day queue.