Ah the old 'you're a woman, you should do everything, and certainly more than me' bullshit.
But glad you caught it early. Lots of men are like this.
The learning for women is.....do I do more work now I'm in this relationship? Am I doing more tidying, more cleaning, washin, paying, tolerating? If yes, you're with a non equal. You thought it would be better, but in reality it's more shit.
A good lesson to learn when young is that you need to ensure your independence. It's may be tempting to move with a man, but it's often a cage. My advice therefore is to start working more hours, save the money and move out somewhere you are back in control. And remember, if they think the cooking, washing and cleaning is for you to do, that means you are suddenly cleaning up after a man. No. Better to have your own lovely space and go out with men, who then go back to their own home and you go back to yours.