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

Yes

The word "ganhar" is identical in meaning, grammar, and spelling in both Brazilian and Continental Portuguese. The difference is exclusively phonetic. In Brazilian Portuguese, the pronunciation is more "open," with vowels clearly articulated. In Continental Portuguese, the pronunciation is more "closed," and unstressed vowels are often neutralized or almost silent, making the word sound shorter and more "clipped."

Brazilian Portuguese Examples

1. Eu ganhei o jogo de futebol. (I won the football match.)
2. Ele ganha muito dinheiro no novo emprego. (He earns a lot of money in the new job.)
3. Ela ganhou muito peso durante a gravidez. (She gained a lot of weight during pregnancy.)
4. Você pode ganhar um brinde se comprar dois. (You can win a free gift if you buy two.)
5. Nós ganhamos muito tempo com essa estratégia. (We gained a lot of time with this strategy.)

Continental Portuguese Examples

1. Eu ganhei o jogo de futebol. (I won the football match.)
2. Ele recebe um bom ordenado no novo emprego. (He receives a good salary in the new job.)
3. Ela engordou muito durante a gravidez. (She gained a lot of weight during pregnancy.)
4. Podes ganhar um brinde se comprares dois. (You can win a free gift if you buy two.)
5. Ganhámos muito tempo com esta estratégia. (We gained a lot of time with this strategy.)