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

No.

While the spelling and the core meaning of the third-person singular verb sabe (he/she/it knows) are identical, the answer is No because there are differences in typical usage and pronunciation:

• Typical Usage: In Brazilian Portuguese, sabe is frequently used as a conversational filler or interjection (meaning "you know?"). This is because Brazilians use the third-person você for informal address. In Portugal, the informal "you" is tu (second person), so the equivalent filler used in conversation is sabes rather than sabe.
• Pronunciation: The pronunciation of the final "e" differs significantly. In Brazil, it is typically an open [i] sound. In Portugal, it is a reduced, nearly silent [ɐ] sound.

Brazilian Portuguese Examples:

1. Você sabe onde fica o banheiro? (Do you know where the bathroom is?)
2. Ela sabe muito, sabe? (She knows a lot, you know?)

• Note: This shows the use of "sabe" as a filler.

3. Sabe o que eu acho? (You know what I think?)
4. O menino sabe tocar violão. (The boy knows how to play the acoustic guitar.)
5. Ninguém sabe o que aconteceu. (Nobody knows what happened.)

Portuguese (Portugal) Examples:

1. Tu sabes onde fica a casa de banho? (Do you know where the bathroom is?)
2. Ela sabe muito, sabes? (She knows a lot, you know?)

• Note: This shows the use of "sabes" as the filler.

3. Sabes o que eu acho? (You know what I think?)
4. O rapaz sabe tocar guitarra. (The boy knows how to play the guitar.)
5. Ninguém sabe o que aconteceu. (Nobody knows what happened.)