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

Yes

The meaning, spelling, and grammar of the word "clara" are identical in both Brazilian and Continental Portuguese. The only difference lies in pronunciation. In Brazilian Portuguese, the final "a" is typically more open and clearly articulated. In Continental Portuguese, unstressed vowels (especially the final "a") are much more reduced, often sounding almost swallowed or like a very faint, neutral "uh" sound. Additionally, the "r" in "clara" may be pronounced with a retroflex sound in parts of Brazil, whereas in Portugal, it is typically a tapped or even a more guttural sound depending on the regional accent.

Brazilian Portuguese Examples

1. A luz da sala está muito clara. (The living room light is very bright.)
2. Eu prefiro essa blusa azul clara. (I prefer this light blue blouse.)
3. A explicação do professor foi muito clara. (The teacher's explanation was very clear.)
4. Você tem que bater a clara em neve. (You have to whip the egg white into peaks.)
5. A ideia parece clara para mim. (The idea seems clear to me.)

Continental Portuguese Examples

1. A luz da sala está muito clara. (The living room light is very bright.)
2. Eu prefiro esta blusa azul clara. (I prefer this light blue blouse.)
3. A explicação do professor foi muito clara. (The teacher's explanation was very clear.)
4. É preciso bater a clara em neve. (It is necessary to whip the egg white into peaks.)
5. A ideia parece-me clara. (The idea seems clear to me.)