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

Yes

The word "dourado" is identical in meaning, spelling, and grammar in both Brazilian and Continental Portuguese. The only difference lies in pronunciation.

In Brazilian Portuguese, the vowels are generally more open and the rhythm of speech is more syllable-timed, meaning the "o" in "dourado" is pronounced clearly. In Continental Portuguese, unstressed vowels are much more "reduced" or closed. This means the final "o" in "dourado" is pronounced much more like a "u" (sounding almost like douradu), and the initial "o" may also be more closed.

Brazilian Portuguese Examples

1. O pôr do sol estava com um tom dourado muito bonito. (The sunset had a very beautiful golden tone.)
2. Ela comprou um colar dourado muito caro. (She bought a very expensive golden necklace.)
3. O cachorro tem um pelo dourado e brilhante. (The dog has golden and shiny fur.)
4. Esse quadro tem uma moldura dourada. (This painting has a golden frame.)
5. O campo de trigo ficou todo dourado com o sol. (The wheat field became all golden with the sun.)

Continental Portuguese Examples

1. O pôr do sol estava com um tom dourado muito bonito. (The sunset had a very beautiful golden tone.)
2. Ela comprou um colar dourado muito caro. (She bought a very expensive golden necklace.)
3. O cão tem um pelo dourado e brilhante. (The dog has golden and shiny fur.)
4. Este quadro tem uma moldura dourada. (This painting has a golden frame.)
5. O campo de trigo ficou todo dourado com o sol. (The wheat field became all golden with the sun.)