"Gave" is the simple past, and in this sentence it is the correct verb tense. "Had given" doesn't work alone. There are two occasions where we use "had given:" 1. To show that an event took place before another ex: She had given it to us before we left the house. (She gave it, and then they left) By the time we arrived, the movie had started. (The movie started and then they arrived) 2. Hypothetical situations (talking about something that didn't happen in the past, or may or may not happen in the future) ex: If she had given it to us, we wouldn't need to buy it.

"Gave" is the simple past, and in this sentence it is the correct verb tense.

"Had given" doesn't work alone. There are two occasions where we use "had given:"

1. To show that an event took place before another
ex: She had given it to us before we left the house.
(She gave it, and then they left)

By the time we arrived, the movie had started.
(The movie started and then they arrived)

2. Hypothetical situations (talking about something that didn't happen in the past, or may or may not happen in the future)
ex: If she had given it to us, we wouldn't need to buy it.