In this portrait by super star artist Tiziano Vecellio ("Titian"), Eleonore Gonzaga wears dress fashionable in Italy in 1538. She was the daughter of Francesco II Gonzaga and Isabella d'Este. Her Wikipedia article is here.
The Wikipedia article for Titian is here.
This is a preview of "Elizabethan" style with a pointed bodice, square neckline with partlet and ruff, puffed rolled sleeves ending with ornate cuffs, and abundant jewelry.
While a French hood might or might not work with this gown - her turban-like headdress works just fine.
Keywords: 1538, Titian, Eleonora Gonzaga (1493 – 1570), Gonzaga family, Este family, Italian, curly coiffure, bateau neckline, turban, partlet, neck ruff, necklace, earrings, rings, waistband, shallow vee waistline, long puffed sleeves, rolled sleeves, cuffs