Meaning of gōng zǐ:
公子
son of an official; son of nobility; your son (honorific)
Nà wèi nián qīng de gōng zǐ zhèng zài xué xí qín qí shū huà.
那位年轻的公子正在学习琴棋书画。
That young son of an official is learning the arts of music, chess, calligraphy, and painting.
Nà wèi gōng zǐ xǐ huān zài huā yuán sàn bù.
那位公子喜欢在花园散步。
The son of nobility enjoys walking in the garden.
Jīntiān shì nín érzi de shēngrì, nín jiā de gōngzǐ zhēn shì yuèláiyuè cōngmíng le.
今天是您儿子的生日,您家的公子真是越来越聪明了。
Today is your son's birthday, your son has truly become more and more intelligent.