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

Yes

The word "canta" is identical in meaning, spelling, and grammatical classification (a first-conjugation regular verb) in both Brazilian and Continental Portuguese. The only difference is in pronunciation.

In Brazilian Portuguese, the pronunciation is more "open," with clearly articulated vowels and a syllable-timed rhythm, making it sound more melodic. In Continental Portuguese, the pronunciation is "closed" and stress-timed; unstressed vowels are often reduced or almost entirely swallowed, which can make the word sound much shorter or more clipped to a Brazilian ear.

Brazilian Portuguese

1. Eu adoro cantar no chuveiro. (I love to sing in the shower.)
2. Ela canta muito bem. (She sings very well.)
3. Ele está cantando uma música linda. (He is singing a beautiful song.)
4. Vamos cantar no karaokê hoje? (Shall we sing karaoke today?)
5. Você gosta de cantar para os seus amigos? (Do you like to sing to your friends?)

Continental Portuguese

1. Eu adoro cantar no duche. (I love to sing in the shower.)
2. Ela canta muito bem. (She sings very well.)
3. Ele está a cantar uma música linda. (He is singing a beautiful song.)
4. Vamos cantar no karaoke hoje? (Shall we sing karaoke today?)
5. Gostas de cantar para os teus amigos? (Do you like to sing to your friends?)