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

Yes

The word "documentário" is identical in meaning, spelling, and grammatical function in both Brazilian and Continental Portuguese. The only difference lies in pronunciation:

• Brazilian Portuguese: The vowels are generally more "open" and the rhythm is more syllabic. The unstressed vowels are pronounced clearly, giving the word a more melodic, "sing-song" cadence.
• Continental Portuguese: The vowels are more "closed" or reduced. Unstressed syllables are often swallowed or shortened significantly, making the word sound more "clipped" or staccato.

Brazilian Portuguese Examples

1. Eu assisti a um documentário incrível ontem. (I watched an incredible documentary yesterday.)
2. Você já viu aquele documentário sobre a Amazônia? (Have you seen that documentary about the Amazon?)
3. Esse documentário me deixou muito emocionado. (That documentary made me very emotional.)
4. Eu adoro ver documentários na Netflix. (I love watching documentaries on Netflix.)
5. O professor passou um documentário bem legal para a turma. (The teacher showed a really cool documentary to the class.)

Portuguese (Portugal) Examples

1. Eu vi um documentário fantástico ontem. (I saw a fantastic documentary yesterday.)
2. Já viste aquele documental sobre a Amazónia? (Have you seen that documentary about the Amazon? — Note: "documental" is a common synonym in Portugal.)
3. Este documentário deixou-me muito emocionado. (This documentary made me very emotional. — Note the difference in pronoun placement.)
4. Estou a ver um documentário na Netflix. (I am watching a documentary on Netflix. — Note the use of "a + infinitive" instead of the gerund.)
5. O professor passou um documental muito interessante à turma. (The teacher showed a very interesting documentary to the class.)