How much you can lift while doing squats depends upon your practice level. According to the data from Symmetric Strength, novice bodybuilders (male) up to the bodyweight of 220 pounds, can squat their bodyweight with adequate practice but they can do one-rep max. Having said that, intermediate male lifters can in the body weight category 242-320 pounds can do bodyweight squats easily.
As far as women are concerned, those weighing up to 105 pounds can squat their bodyweight on the barbell back squat. However, women weighing in the range of 114-200 lbs, will need more practice and will have to be intermediate lifters to be able to do bodyweight squats.