Is the word verduras the same in Brazilian and European Portuguese?

No.

While the core dictionary definition remains similar, there is a difference in typical usage and scope. In Brazil, "verduras" refers specifically to leafy greens (such as lettuce, kale, or spinach), while "legumes" is used for other vegetables (such as carrots, potatoes, or zucchini). In Portugal, "legumes" is the standard, all-encompassing term for all vegetables, and "verduras" is used much more specifically to refer only to greens. Additionally, there is a difference in pronunciation: Brazilian Portuguese features more open, clear vowels, whereas Continental Portuguese uses more closed or "reduced" vowels.

Brazilian Portuguese

1. Eu adoro comer verduras no café da manhã. (I love eating greens for breakfast.)
2. Você já lavou as verduras para a salada? (Did you already wash the greens for the salad?)
3. As verduras desta feira são muito frescas. (The greens from this market are very fresh.)
4. Preciso comprar verduras para o jantar. (I need to buy greens for dinner.)
5. As verduras murcharam na geladeira. (The greens wilted in the refrigerator.)

Continental Portuguese

1. Eu adoro comer legumes ao pequeno-almoço. (I love eating vegetables for breakfast.)
2. Tu já lavaste os legumes para a salada? (Did you already wash the vegetables for the salad?)
3. Os legumes desta feira são muito frescos. (The vegetables from this market are very fresh.)
4. Preciso de comprar legumes para o jantar. (I need to buy vegetables for dinner.)
5. Os legumes murcharam no frigorífico. (The vegetables wilted in the refrigerator.)