Is the wrapped gift begged to be opened a metaphor

Answer: yes

Explanation:

It is a metaphor because "begged" is a figure of speech (the metaphor) that was applied to the wrapped gift but is not literal. for example, the wrapped gift didn't actually beg to be opened.

It's a personification

Explanation:

It is an object acting like a person.

"the attribution of a personal nature or human characteristics to something nonhuman, or the representation of an abstract quality in human form" - that is the definition of personification