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

Yes

The word "abraçar" is identical in meaning, spelling, and grammar in both Brazilian and Continental Portuguese. The only differences lie in pronunciation.

In Brazilian Portuguese, the vowels tend to be more open and the pronunciation is more "syllable-timed," making the word sound more melodic. In Continental Portuguese, the vowels are often more reduced or "closed," and the rhythm is more "stress-timed," which can make the unstressed syllables sound almost swallowed. Additionally, the "r" at the end of the verb may be pronounced with a more distinct retroflex or aspirated sound in many Brazilian regions, whereas in Portugal, it is typically a more uvular or tapped sound.

Brazilian Portuguese Examples

1. Eu adoro abraçar minha mãe quando chego em casa. (I love hugging my mother when I get home.)
2. Ele decidiu abraçar a causa da preservação da Amazônia. (He decided to embrace the cause of Amazon preservation.)
3. O cachorro ficou muito feliz quando eu o abracei. (The dog was very happy when I hugged him.)
4. Vamos nos abraçar e comemorar! (Let's hug each other and celebrate!)
5. Um grande abraço para todos vocês! (A big hug to all of you!)

Continental Portuguese Examples

1. Eu adoro abraçar a minha mãe quando chego a casa. (I love hugging my mother when I get home.)
2. Ele decidiu abraçar a causa da preservação da Amazónia. (He decided to embrace the cause of Amazon preservation.)
3. O cão ficou muito feliz quando o abracei. (The dog was very happy when I hugged him.)
4. Vamos abraçar-nos e comemorar! (Let's hug each other and celebrate!)
5. Um grande abraço para ti! (A big hug to you!)