What do homegirl and homeboy mean respectively?
For example, I study far away home and I live in school. Usually I come home monthly. If I always wanna go home or miss my families, what do you usually call that? I srarched on the internet, and there are homegirl, homeboy and home-attaching person. I dont know which one do native speakers use or how do you describe that?

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We would say that we were "homesick" if we were away from home and missed it.

Homegirl and Homeboy are slang terms used in the African-American and Latino communities used to refer to friends that are from the same area.

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Homesick is the word you're looking for.

Home(boy/girl) is usually used a the modern slang equivalent of a good friend.

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We say home sick

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When you miss the people back at home, we call it "homesick". 
Homeboy and homegirl are... Like your close friends? I personally don't use these two words.