Grad Student Struggles

Sorry if this isn't the right place to post this, I just figured this community would be the most knowledgeable on the matter.

Hey all. I'm a first year astronomy graduate student and I'm really struggling. It's only been just over a month into the semester and I feel like I already have no idea what I'm doing; for the past week or two I've been just staring at my assignments for hours trying to figure out what to do and rarely getting results. The better part of my day is just spent trying and failing to solve problems. It seems like it's starting to snowball a bit too; I've been starting assignments later than I like because I try to complete the ones before it, and then either feel rushed or just stare at the assignment as my mind goes blank like the ones that preceded it. There's only one other grad student in the department and he prefers working on his own/doesn't talk much, so I kind of feel on my own with this.

I feel embarrassed for being able to get to this point while still struggling as much as I am. It's starting to wear on me a bit - I'm not sleeping well, I'm tired nearly all day, I'm scatter-brained, and I never feel like I have the time to actually blow off steam in a healthy way. I love the topic and am really interested in the courses and my research, but that doesn't seem to be enough to actually apply the information I've learned.

Is this at all a common feeling when just starting out? It's way too early to call it quits, but at the same time being lost on assignments this early in can't be a good thing. I can turn this around and be okay since it's still the beginning, but I'm really nervous to be honest. Any advice or previous experience is welcome and appreciated. Thanks in advance.