It is very rare for a woman not to have enough milk to nurse her baby. Most of the time, an insufficient milk supply stems from issues with breastfeeding management. When my first child was born I remember expecting him to sleep much of the time, just waking for feeds. I was startled when he wanted to nurse round the clock. He didn't sound at all like the babies I had read about.
All babies are different.
Breastfed babies do need to nurse frequently in those early weeks. Frequent feeds help prevent engorgement, increase your milk supply, and satisfy not only your baby's nutritional and sucking needs, but also his need for intimacy with you. It is quite normal for babies of this age to feed at least 12 times a day, with many feeding more often than this in the first six weeks of life. It is recommended that feeds not be timed. Allow your baby to nurse on one side until relaxed and satisfied, and then offer the other side.