Dealing with no sleep

Hi. I’m a first time mom to a 5.5 week old baby boy. His sleep schedule is so unpredictable and very crazy. Idk if he’ll last 1 hr or 30 min or 3 hrs asleep. At night he has trouble falling asleep and staying asleep like and wants to be at the boob every hour, it’s the only way he’ll stay calm. How did you moms deal with no sleep or how did you finally get the idea through your head that you won’t get sleep at all anymore? I’ve already been dealing like this for the past 5 weeks but I still sometimes get mad bc I don’t get sleep but I’m his mommy and I don’t want to feel guilty bc I get mad. I love being his mom dont get me wrong, it’s just hard. My husband tries to help out as much as he can but he works 12 hr shifts 4 days a week and I just stay at home, so I feel bad I don’t let him rest either. Ah idk what to do or how to wrap my head around the idea that I won’t get any sleep for the next year maybe!