...Sorry for all the GIFs, but it had to be done; they're just too much alike.
I find two major differences.
1. Power wise GG is a full power bruiser that flies in and plows through (a DPS with a good shield if you will), and Yang is the unlikely child of Lung (a Tank with a good sword).
2-A. Personality wise GG is more self centered, she tries to impose her way on others (
her feelings,
her family,
her motives). It's also reflected in how her powers bend the world around her, the Mover and Brute powers are enablers that allow her to do what she wants physically without fear of physical reproach, and her Master power (or is it Shaker?) allows her to impose herself on others. She makes a regular (or at least has a recurring) habit of impulsively using excessive force without any regard to not doing it again, and then manipulating people into covering for her so she doesn't face the consequences of her actions. In the case of the E88 thug she 'caught,' she didn't have any passable evidence (or authority) to take the action she did against him, she went way overboard in his capture, she disregarded any property damage she may have and did incur in his capture, she manipulated her sister into healing the guy because she didn't want to face consequences, she disregarded the damage she did to him only concerning herself with what could happen to her, and then withheld the aid she had convinced Amy to give in order to extort the thug. Was he guilty? Most certainly, but was what GG did in any way better or acceptable? No, it wasn't, and she did even more to the thug than he supposedly did to the woman. I'd honestly say that GG is a worse person than the thug.
2-B. Whereas Yang is more empathetic, she understands others (or at least tries to) and tries to help them (
Blake's feelings,
Ruby's problems, and
everyone's motives). Like GG, it is also reflected in her Semblance, weapons, and fighting style. She has a high ability to absorb damage and is incentivized to take hits for others because it makes her stronger. Her weapons are short-barrel shotgun gauntlets that provide speed, dexterity, and huge amounts of force at point blank. Her fighting style is very close range too; with a strong focus on getting up close to the target and becoming a significant threat/nuisance that cannot be ignored (buckshot down the Nevermore's throat and the Paladin rodeo come to mind). Like GG, Yang can be forceful and a bit manipulative, but in a different way. Yang is extreme, she'll throw you into the deep end to teach you how to swim, but she's also supportive, she'll jump right in if you start to drown. And for all that she did to Junior and Crew, all they suffered was a TKO, some admittedly bad property damage, and wounded egos.