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

Yes

The spelling, meaning, and grammatical function of "ministro" are identical in both Brazilian and Continental Portuguese. The only difference lies in pronunciation (phonology). In Brazilian Portuguese, vowels are generally more open and clearly articulated, and the final "o" is pronounced as a clear [u]. In Continental Portuguese, unstressed vowels are much more "closed" or reduced, which can make the word sound more clipped or muffled to a Brazilian ear.

Brazilian Portuguese Examples

1. O ministro da Educação deu uma entrevista hoje. (The Minister of Education gave an interview today.)
2. O ministro assinou o novo decreto ontem à noite. (The minister signed the new decree last night.)
3. Precisamos falar com o ministro da Saúde sobre isso. (We need to talk to the Minister of Health about this.)
4. O governo anunciou o novo ministro da Economia. (The government announced the new Minister of Economy.)
5. O ministro explicou as mudanças nas leis de trânsito. (The minister explained the changes in the traffic laws.)

Continental Portuguese Examples

1. O ministro da Educação deu uma entrevista hoje. (The Minister of Education gave an interview today.)
2. O ministro assinou o novo decreto ontem à noite. (The minister signed the new decree last night.)
3. É necessário falar com o ministro da Saúde sobre este assunto. (It is necessary to talk to the Minister of Health about this matter.)
4. O governo anunciou o novo ministro da Economia. (The government announced the new Minister of Economy.)
5. O ministro explicou as alterações nas leis de trânsito. (The minister explained the changes to the traffic laws.)