My enjoyment of this museum was predicated on a couple of things. First, I had the benefit of downloading to my iPhone beforehand a free walking tour of the museum from Rick Steves Audio Europe, which went a long way towards educating a fine art novice like myself, why the frescos and altarpieces I was looking at were Important art treasures.
Secondly, I had watched the Netflix drama Medici, whose second season featured the historical character Savonarola, a former resident of the Convent and thorn in the side of the Medici family, whose living quarters are featured on the upper floor of the museum.
Both of these background sources if you wish to access them may help the casual visitor.
If you use the suggested audio tour, which is just under an hour long, reserve some additional time to read the posted narrative signs and enjoy exhibits not especially featured in the tour. I had only allocated a bit over an hour to see the museum, and wished I had allowed for more.
The 8 euro admission cost is a relative bargain.