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

No

While the spelling and fundamental meaning of "diverte" (from the verb divertir — to amuse, entertain, or have fun) are the same in both variants, there are significant differences in typical usage and pronunciation:

• Grammar (Clitic Placement): In Brazilian Portuguese, when the verb is used reflexively, the pronoun almost always precedes the verb (se diverte). In European Portuguese, the pronoun follows the verb (diverte-se).
• Grammar (Verb Construction): When describing an action that provides amusement, Brazilians typically use the gerund (diverte lendo), whereas Portuguese speakers use the preposition "a" followed by the infinitive (diverte a ler).
• Pronunciation: In European Portuguese, the final "e" in "diverte" is much more reduced, often sounding like a very short, neutral "uh" or becoming nearly silent. In Brazilian Portuguese, the final "e" is generally more audible.

Brazilian Portuguese Examples

1. Ele se diverte muito no parque. (He has a lot of fun at the park.)
2. Esse filme diverte toda a família. (This movie entertains the whole family.)
3. A criança se diverte brincando com o cachorro. (The child has fun playing with the dog.)
4. O show diverte o público presente. (The show entertains the audience present.)
5. Ela se diverte lendo livros de aventura. (She has fun reading adventure books.)

European Portuguese Examples

1. Ele diverte-se muito no parque. (He has a lot of fun at the park.)
2. Este filme diverte toda a família. (This movie entertains the whole family.)
3. A criança diverte-se a brincar com o cão. (The child has fun playing with the dog.)
4. O espetáculo diverte o público presente. (The show entertains the audience present.)
5. Ela diverte-se a ler livros de aventura. (She has fun reading adventure books.)