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

Yes

The spelling, meaning, and grammar of "pesos" are identical in both Brazilian and Continental Portuguese. The only difference is pronunciation. In Brazilian Portuguese, the vowels are generally more open and clearly articulated. In Continental Portuguese, unstressed vowels tend to be more closed or even reduced (often sounding like a very short "uh" sound), which makes the word sound more clipped or "swallowed" compared to the Brazilian pronunciation.

Brazilian Portuguese Examples

1. Eu estou trocando meus pesos por reais. (I am exchanging my pesos for reais.) 2. Você tem pesos mexicanos aí? (Do you have Mexican pesos there?)
2. O valor dos pesos aumentou muito hoje. (The value of the pesos increased a lot today.)
3. Eu não entendo nada de pesos argentinos. (I don't understand anything about Argentine pesos.)
4. Quanto custa converter esses pesos? (How much does it cost to convert these pesos?)

Continental Portuguese Examples

1. Estou a trocar os meus pesos por euros. (I am exchanging my pesos for euros.)
2. Tens pesos mexicanos contigo? (Do you have Mexican pesos with you?)
3. O valor dos pesos subiu bastante hoje. (The value of the pesos has risen quite a lot today.)
4. Não percebo nada de pesos argentinos. (I don't understand anything about Argentine pesos.)
5. Quanto é que custa converter estes pesos? (How much does it cost to convert these pesos?)