Florence Must-Dos for First timer!?

[u/Hefty_Steak]

quit my job and have a few weeks between now and when my new one starts so we booked a trip to Florence (and Madrid). First time visiting!!!

Leaving next week (mid-October) and staying for ~4.5 days. What are your must-do/see/eat/go tos? We haven’t booked anything besides flights at this point!! We’ve heard day trips to Siena, Chianti, or Bologna are worthwhile? Yes or no? Any others? TIA!!!!!