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

Yes

The spelling, meaning, and grammatical function of "vegetariana" are identical in both Brazilian and Continental Portuguese. The only difference lies in pronunciation. In Brazilian Portuguese, the vowels are more "open" and clearly articulated, making the word sound more melodic. In Continental Portuguese, unstressed vowels (like the 'e' in the first syllable) are heavily reduced or almost silent, which gives the word a more "clipped" or consonant-heavy sound.

Brazilian Portuguese examples:

1. Ela é vegetariana faz dois anos. (She has been a vegetarian for two years.)
2. Eu quero uma opção vegetariana pra mim. (I want a vegetarian option for myself.)
3. Ela segue uma dieta vegetariana. (She follows a vegetarian diet.)
4. Minha irmã é vegetariana. (My sister is a vegetarian.)
5. Essa pizza vegetariana é muito boa. (That vegetarian pizza is very good.)

Continental Portuguese examples:

1. Ela é vegetariana há dois anos. (She has been a vegetarian for two years.)
2. Gostava de pedir uma opção vegetariana. (I would like to order a vegetarian option.)
3. Ela segue uma dieta vegetariana. (She follows a vegetarian diet.)
4. A minha irmã é vegetariana. (My sister is a vegetarian.)
5. Esta massa vegetariana é deliciosa. (This vegetarian pasta is delicious.)