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

Yes

The word "sopa" is identical in meaning, spelling, and grammar in both Brazilian and Continental Portuguese. The only difference is in pronunciation. In Brazilian Portuguese, the vowels are generally more open and clearly articulated. In Continental Portuguese, unstressed vowels (such as the final "a" in sopa) are often "reduced" or "closed," meaning they are pronounced much more subtly, making the word sound shorter and more clipped.

Brazilian Portuguese Examples

1. Eu adoro tomar sopa quando faz frio. (I love eating soup when it is cold.)
2. A sopa de legumes está muito gostosa. (The vegetable soup is very tasty.)
3. Você quer uma sopa para o jantar? (Do you want a soup for dinner?)
4. Fiz uma sopa de canja para o menino. (I made chicken soup for the boy.)
5. Essa sopa está muito quente, cuidado! (This soup is very hot, be careful!)

Continental Portuguese Examples

1. Eu adoro comer sopa quando está frio. (I love eating soup when it is cold.)
2. A sopa de legumes está muito saborosa. (The vegetable soup is very tasty.)
3. Queres uma sopa para o jantar? (Do you want a soup for dinner?)
4. Fiz uma sopa de canja para o miúdo. (I made chicken soup for the kid.)
5. Esta sopa está muito quente, tem cuidado! (This soup is very hot, be careful!)