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

Yes

The meaning, spelling, and grammar of the word "natal" are identical in both Brazilian and Continental Portuguese. In both varieties, it is primarily used as a noun to refer to "Christmas" and can function as an adjective relating to "birth."

The only difference is pronunciation:

• Brazilian Portuguese: The "l" at the end of the syllable is vocalized, sounding like a "u" (e.g., na-tau).
• Continental Portuguese: The "l" is more velarized, maintaining a more distinct "l" sound.

Brazilian Portuguese Examples:

1. Feliz Natal para você e sua família! (Merry Christmas to you and your/your family!)
2. Eu adoro as decorações de Natal. (I love the Christmas decorations.)
3. O presente de Natal dele foi um videogame. (His Christmas present was a video game.)
4. Vamos fazer uma ceia de Natal bem grande. (We are going to have a very large Christmas dinner.)
5. As luzes de Natal deixam a cidade muito bonita. (The Christmas lights make the city very beautiful.)

Continental Portuguese Examples:

1. Feliz Natal a todos! (Merry Christmas to everyone!)
2. Adoro os enfeites de Natal. (I love the Christmas ornaments.)
3. O presente de Natal dele foi uma consola. (His Christmas present was a console.)
4. Vamos fazer uma ceia de Natal bem farta. (We are going to have a very hearty Christmas dinner.)
5. As luzes de Natal deixam a cidade lindíssima. (The Christmas lights make the city very beautiful/gorgeous.)