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

Yes.

The spelling, meaning, and grammatical gender of the word are identical in both varieties. The only difference is the pronunciation of the final "e." In Brazilian Portuguese, the final "e" is typically pronounced as a light, unstressed "i" [u.ni.ˈfɔr.mi]. In Continental Portuguese, the final "e" is much more reduced and "closed," often sounding like a very short, nearly silent vowel [u.ni.ˈfɔɾ.mɨ].

Brazilian Portuguese Examples:

1. Eu preciso comprar o uniforme novo da escola. (I need to buy the new school uniform.)
2. O uniforme do time é azul e branco. (The team's uniform is blue and white.)
3. Ele sempre usa o uniforme de trabalho limpo. (He always wears a clean work uniform.)
4. As crianças devem usar o uniforme todos os dias. (The children must wear the uniform every day.)
5. Onde eu posso encontrar o uniforme da empresa? (Where can I find the company uniform?)

Continental Portuguese Examples:

1. Eu preciso de comprar o uniforme novo da escola. (I need to buy the new school uniform.)
2. O uniforme da equipa é azul e branco. (The team's uniform is blue and white.)
3. Ele usa sempre o uniforme de trabalho limpo. (He always wears a clean work uniform.)
4. As crianças têm de usar o uniforme todos os dias. (The children must wear the uniform every day.)
5. Onde posso encontrar o uniforme da empresa? (Where can I find the company uniform?)