Is dad’s beard like a Chinese character a metaphor?

It is a metaphor. Metaphors usually use a different type of thing that has some similarity to the thing to be expressed to describe the target thing. For example, his heart is as hard as a stone, and dad's beard is like a Chinese character. This sentence refers to dad's beard. Comparing it to the eight characters, it vividly depicts the shape of the beard. Therefore it is a metaphor.