3) My partner proposed that we sell the house , go somewhere else, don't tell my family where I am and live our life.
Wise advice. Listen to her.
4) If we meet somewhere else , my mum and I , she will get suspicious and ask me why. She constantly tells me that I better not be with a white or black man.
Yes so as you have already said, she is a vile racist. Get her out of your life.
6) When my mother is here, my girlfriend and I still see each other after work, we go for a drink. Sometimes spend the night together. So we still see each other
How big of you. Is she meant to be grateful that you meet her occasionally for a drink and sex? You said you want to marry this woman. You make her move out of her own home multiple times per year then think this makes it ok? 
7) I absolutely hate my family's racism. I do not share the same values.
People's values are demonstrated by what they do, not what they say. My Pakistani friends were shocked having moved to the UK to find how kind people were and what they do for charity etc from simple altruism, not "duty" or religious mandates that are resented. I'm sorry but the culture and family environment you were raised in sounds incredibly toxic. It's your decision whether to break free from that and have a happy life where you can be true to yourself and your values, or not. Your "values" mean nothing if you do not live them through your actions and you go along with all the racist and homophobic bile. That makes you part of the problem.
9) I LOVE MY PARTNER. I LOVE HER. I do not treat her like a doormat. She is the woman I always dreamt of. I want to be with her forever. However she does not understand pakistani culture. I explained it to her ( hence why she proposed that we go somewhere else)
She doesn't need to understand Pakistani culture. She is telling you that your behaviour is hurting her (this should have been obvious for many years, but clearly you've been oblivious). It's not her problem to fix. She's been very accommodating but enough is enough. To quote a very crude British saying, "it is time to shit or get off the pot". If you loved her you'd never have treated her with such disrespect all of this time as there can be no love without respect.
Either apologise to her hugely for how appalling you have treated her and make a new life together with no contact with your horrific family ever, or break up with her and let her find a relationship with someone who will publicly acknowledge her and resign yourself to being a celibate lesbian forever to please your family so that you never do this to anyone else again because it is horrendous.