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

No

While the spelling and fundamental meaning of "morar" are identical in both dialects, there are differences in typical usage, grammar, and pronunciation.

• Usage: In Brazil, "morar" is the standard, everyday verb used to indicate residence. In Portugal, while "morar" is used (often in more formal or administrative contexts), the verb "viver" is much more natural and frequent when expressing the idea of residing in a place.
• Grammar: The way the verb is conjugated in conversation differs due to the use of "você" (standard in Brazil) versus "tu" (standard in Portugal). Additionally, contractions like "numa" (in a) are much more pervasive in Portugal, whereas Brazilians often use the uncontracted "em uma".
• Pronunciation: Brazilian Portuguese is characterized by more open vowels and a rhythmic, syllable-timed flow. Continental Portuguese features significant vowel reduction, where unstressed vowels are often "swallowed" or shortened, creating a more stress-timed, consonant-heavy sound.

Brazilian Portuguese Examples

1. Eu moro no Rio de Janeiro. (I live in Rio de Janeiro.)
2. Onde você mora? (Where do you live?)
3. Nós moramos em uma casa muito bonita. (We live in a very beautiful house.)
4. Ela mora perto do trabalho. (She lives near work.)
5. Vocês moram aqui há quanto tempo? (How long have you [plural] lived here?)

Portuguese (Continental) Examples

1. Eu vivo no Porto. (I live in Porto.)
2. Onde é que vives? (Where do you live?)
3. Nós vivemos numa casa muito bonita. (We live in a very beautiful house.)
4. Ela vive perto do trabalho. (She lives near work.)
5. Vives aqui há quanto tempo? (How long have you [singular/informal] lived here?)