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

Yes

The word "gelo" is identical in meaning, spelling, and grammatical gender (masculine) in both Brazilian and Continental Portuguese. The only difference is in pronunciation. In Brazilian Portuguese, the vowels are generally more open and clearly articulated. In Continental Portuguese, unstressed vowels tend to be more closed or reduced, and the "l" often carries a more velarized (darker) sound.

Brazilian Portuguese Examples

1. Coloca gelo no meu suco, por favor. (Put ice in my juice, please.)
2. O gelo derreteu muito rápido no sol. (The ice melted very quickly in the sun.)
3. Não gosto de bebida com muito gelo. (I don't like drinks with much ice.)
4. Tem gelo na geladeira? (Is there ice in the fridge?)
5. O gelo está derretendo. (The ice is melting.)

Continental Portuguese Examples

1. Podes pôr gelo no meu sumo, por favor? (Can you put ice in my juice, please?)
2. O gelo derreteu depressa com o calor. (The ice melted fast with the heat.)
3. Não gosto de bebidas com muito gelo. (I don't like drinks with much ice.)
4. Tens gelo no frigorífico? (Do you have ice in the fridge?)
5. O gelo está a derreter. (The ice is melting.)