Since i giving birth, it seems that my breastmilk's production is not even between one boob to another. Is it normal for a new mum that one boob produce more milk?

It is very common for one side to produce more milk. I also had this problem too! I will nurse more on the side producing lesser milk. Breastfeeding depends on demand, if the demand is more, it will produce more so to balance out you can feed more or pump more from the lesser side. After doing that, my supply is almost the same on both side.