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

Yes

The word "namorada" is identical in meaning, spelling, and grammatical category (feminine noun) in both Brazilian and Continental Portuguese. The differences are purely phonetic and syntactical:

• Pronunciation: In Brazilian Portuguese, the unstressed vowels (like the final "a") are often pronounced with a more neutral or open sound. In Continental Portuguese, these unstressed vowels are much more reduced, often sounding almost swallowed or "closed."
• Syntax (Sentence Structure): While the word itself is the same, the way it is used in a sentence differs. In Portugal, it is standard to use a definite article before a possessive adjective (e.g., "A minha namorada"), whereas, in Brazil, the article is frequently omitted (e.g., "Minha namorada").

Brazilian Portuguese Examples

1. Minha namorada é muito legal. (My girlfriend is very cool.)
2. Eu gosto muito da minha namorada. (I like my girlfriend very much.)
3. Minha namorada e eu vamos ao shopping. (My girlfriend and I are going to the mall.)
4. Você já conheceu minha namorada? (Have you met my girlfriend?)
5. Minha namorada mora no Brasil. (My girlfriend lives in Brazil.)

Continental Portuguese Examples

1. A minha namorada é muito fixe. (My girlfriend is very cool.)
2. Eu gosto muito da minha namorada. (I like my girlfriend very much.)
3. A minha namorada e eu vamos ao centro comercial. (My girlfriend and I are going to the mall.)
4. Tu já conheceste a minha namorada? (Have you met my girlfriend?)
5. A minha namorada mora no Brasil. (My girlfriend lives in Brazil.)