That, like dumb mouths, do ope their ruby lips

To beg the voice and utterance of my tongue

is this a simile? how?

Yes. It's a simile. It compares whatever "That" refers to to mouths. It also uses the word "like," making it a simile, not a metaphor.

An easy way to remember simile vs. metaphor:

A simile is SIMILAR (like).

An example is:

He fought LIKE a lion (simile).
He was a lion in battle (metaphor -- no LIKE)

If he roared and swung his sword, he acted LIKE a lion. If he turned into a real animal, he WAS a lion.