So what will be the aftermath of this GME event?

These are simply my guesses, I don't actually know.

Wallstreet will likely push for licenses being necessary to trade, or put more limits on how many trades you can make, or some other way to screw the average person trading. 1/

FYI, you can only make 4 trades in a day, but if you have more than $25,000 in your account you can make as many as you want.

The system is rigged against the poor, and weighted heavily in favour of the rich. 2/

Will the government shut down the market?

It's possible, but I doubt it.
It would open up new precedents and the optics would be terrible- i.e. shutting down the market because greedy hedgefunds fucked up, and normal people are taking them to the cleaners. 3/

If the government gives in to Wallstreet, they lose all credibility, because this story is basically David vs Goliath, where the Reddit guys are the good guys, and the hedgefunds are the bad guys.

4/

Likely they will implement similar rules to Europe, that stops naked short selling.

Anything more than that, I'm not sure.
I think the media will push the threat of the government shutting down trading, in order to scare people into selling, to give short sellers a way out. 5/