Explanation:

- He was given a book for his birthday.

This is a passive voice sentence indicating that someone gave him a book. It's correctly structured.

- Option 1: She has gave him a book for his birthday.

This sentence is incorrect. It should read "She has given him a book for his birthday" if using present perfect tense.

- Option 2: She give a book to him for his birthday.

This sentence is incorrect in terms of tense. It should read "She gives a book to him for his birthday" in present tense.

- Option 3: She gave him a book for his birthday.

This sentence is correct. It describes a past event with the right tense and structure.

- Option 4: She will be giving him a book for his birthday.

This sentence is also correct, but it indicates a future action rather than a past one.