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

No.

While the literal meaning of "menino" (boy/child) is identical in both dialects, there is a difference in typical usage. In Brazil, "menino" is a standard, frequent term for a boy. In Portugal, while "menino" is used, it is much more natural for a native speaker to use "miúdo" (for a small child/kid) or "rapaz" (for a boy or young man). Additionally, the pronunciation differs: Brazilian Portuguese features more open, clear vowels, whereas Continental Portuguese often reduces or "swallows" unstressed vowels.

Brazilian Portuguese Examples

1. O menino está brincando no parque. (The boy is playing in the park.)
2. Aquele menino é muito inteligente. (That boy is very intelligent.)
3. O menino caiu e ralou o joelho. (The boy fell and scraped his knee.)
4. Como vai esse menino? (How is that boy doing?)
5. Ele era um menino muito travesso. (He was a very naughty boy.)

Continental Portuguese Examples

1. O miúdo está a brincar no parque. (The kid is playing in the park.)
2. Aquele rapaz é muito inteligente. (That boy/young man is very intelligent.)
3. O miúdo caiu e ralou o joelho. (The kid fell and scraped his knee.)
4. Como vai esse miúdo? (How is that kid doing?)
5. Ele era um rapaz muito travesso. (He was a very naughty boy.)