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

Yes

The only difference between "surpresa" in Brazilian Portuguese and Continental Portuguese is pronunciation. In Brazilian Portuguese, the vowels are generally more open, and the rhythm is more melodic and syllable-timed. In Continental Portuguese, the pronunciation is much more "closed" or "consonantal," with unstressed vowels often being reduced or almost entirely swallowed, making the word sound shorter and more clipped. There are no differences in spelling, grammar, or fundamental meaning.

Brazilian Portuguese Examples

1. Que surpresa boa ver você aqui! (What a nice surprise to see you here!)
2. Ele preparou uma surpresa incrível para ela. (He prepared an incredible surprise for her.)
3. A festa foi uma surpresa total para todo mundo. (The party was a total surprise for everyone.)
4. Não foi uma surpresa, eu já desconfiava. (It wasn't a surprise, I already suspected it.)
5. Prepare uma surpresa bem legal para o seu irmão. (Prepare a really cool surprise for your brother.)

Continental Portuguese Examples

1. Que boa surpresa encontrar-te por aqui! (What a good surprise to find you around here!)
2. A surpresa foi um sucesso total. (The surprise was a total success.)
3. Foi uma surpresa enorme para todos nós. (It was an enormous surprise for all of us.)
4. Não houve surpresa alguma no desfecho. (There was no surprise at all in the outcome.)
5. Estás à espera de uma surpresa? (Are you waiting for a surprise?)