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

Yes

The word "Portugal" is identical in spelling, meaning, and grammatical function in both Brazilian and Continental Portuguese. The only difference lies in pronunciation. In Brazilian Portuguese, the vowels tend to be more open and the rhythm is more syllable-timed, which makes the vowels in "Portugal" sound clearer and more distinct. In Continental Portuguese, the rhythm is more stress-timed and unstressed vowels are often reduced or "closed," which can make the word sound more compressed or consonant-heavy to a Brazilian ear.

Brazilian Portuguese

1. Eu sempre quis visitar Portugal. (I have always wanted to visit Portugal.)
2. Portugal é um país muito pequeno. (Portugal is a very small country.)
3. Você conhece Portugal? (Do you know Portugal?)
4. Eu vou para Portugal nas férias. (I am going to Portugal on vacation.)
5. Portugal tem uma história incrível. (Portugal has an incredible history.)

Portuguese (Continental)

1. Eu sempre quis visitar Portugal. (I have always wanted to visit Portugal.)
2. Portugal é um país bastante pequeno. (Portugal is a quite small country.)
3. Tu conheces Portugal? (Do you know Portugal?)
4. Vou a Portugal nas férias. (I am going to Portugal on vacation.)
5. Portugal tem uma história extraordinária. (Portugal has an extraordinary history.)