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

Yes

The word "terminou" is identical in meaning, grammar, and spelling in both Brazilian and Continental Portuguese. The only difference is pronunciation. In Brazilian Portuguese, the vowels are more open and the syllables are articulated more clearly. In Continental Portuguese, unstressed vowels are often "reduced" or shortened, making the word sound more closed and consonant-heavy.

Brazilian Portuguese Examples

1. O namoro deles terminou ontem. (Their relationship ended yesterday.)
2. O filme terminou muito tarde. (The movie ended very late.)
3. A aula terminou agora pouco. (Class ended a little while ago.)
4. O contrato terminou no mês passado. (The contract ended last month.)
5. A chuva finalmente terminou. (The rain finally ended.)

Continental Portuguese Examples

1. O namoro deles acabou ontem. (Their relationship ended yesterday.)
2. O filme chegou ao fim muito tarde. (The movie came to an end very late.)
3. A aula terminou agora mesmo. (Class ended just now.)
4. O contrato foi concluído no mês passado. (The contract was concluded last month.)
5. A chuva parou finalmente. (The rain stopped finally.)