Breastfeeding moms....do you pump also?

Have y'all started pumping? I started at 2 weeks because I wanted to see how much my baby was eating because she seemed to never get full or satisfied. She just wanted to eat constantly. The doctors told me that she will get more milk from the breast than when I am pumping. Which I feel I get more when I pump.

When I first started pumping I would get just an ounce from both breast. Then after a week I was getting an ounce and a half from my left and 2 ounces from my right. I would get anywhere from 3 to 4 ounces when I pumped. I thought I was doing great. But then one day she was super fussy and only wanted my boob and not a bottle so I fed her that way for two days. She was super fussy and we thought she might be having reflux. I talked to the doctor again and the said I was over feeding her. Which I was like she is hungry. So I kept feeding her from the breast the next few days. But then it started that she was getting pissed that my boobs would run out of milk and she wanted more. The doctor said my body should keep up with her demands. But I felt like it wasn't.

So I just started pumping again 2 days ago. At first I hardly got an ounce out of each breast. No wonder she was getting mad. I had to use some supplements to get my supply up. But now I am pumping 2-3 ounces already. And she can have my milk from the bottle.

Is anyone else going through this? My baby is 4 weeks today. And also to anyone who pumps...do you get more from one breast over the other? I hope I made the right decision to just use the pump.