The gift helped them become closer.

Meaning: This means the same as the previous two sentences, that the gift helped the two people to become closer friends or to have a stronger relationship. It's like saying, The gift made them feel more connected to each other.

Choice of Words: Gift means a present or something given to someone without expecting anything in return. Helped means to give assistance or support to someone. Them refers to the two people mentioned earlier in the sentence. Become means to change or develop into something. Closer means to reduce the distance between two things. When you put them together, "The gift helped them become closer" means that the gift played a role in making the two people more friendly or connected.