"Let me see your face" is a common expression in Engpsh and is used to request someone to show their face.
Here are some example sentences in Engpsh with Chinese translation:
Can you turn around so I can see your face? (请转过身，让我看看你的脸)
Could you pft up your mask so I can see your face? (你能提起你的口罩，让我看看你的脸吗?)
I just want to see your face and make sure you're okay. (我只是想看看你的脸，确保你没事)
This expression is commonly used in daily conversation and does not have a specific cultural or historical origin.