Quoting Amber Waves:" he does have plenty of wet diapers, but he also wants to eat literally every 30 minutes to an hour ... [snip!] ... like i used to produce. but thats good reassurance. i used to be able to leak from one side HALF a bottle, now its just drops. "
What you're describing sounds completely normal. Babies usually grow thru a growth spurt around a month old, so they want to nurse constantly. And a lot of times they just want to nurse for comfort.
The first 4-6 weeks of breastfeeding is the hardest, but it does get easier!