In short: yes. But not for a while. Newborn sleep is a chaotic rollercoaster of short stretches, strange noises, and constant wakings. It’s survival mode, not spa mode.
Eventually, your baby will sleep longer. Eventually, you’ll sleep without one eye open. Eventually, you’ll forget just how tired you were. But right now? It’s hard. And it’s okay to say that.
Nap when you can. Accept help. And remember: this won’t last forever. Even if it feels like it at 3AM.