I use a Freestyle Libre 2. It's not the top-of-the-line, but it works well enough, IMO.
It really hinges on your health conditions, what other medications you're on, and your GLP-1 dosage.
If you're a type 1 or type 2 diabetic needing insulin, a CGM is essential, period.
If you're on a high dose (around 10mg or more) or your finger-prick tests are consistently low, then think about getting one.
I'm pre-diabetic; my A1C was 5.7 before starting tirzepatide. I take a low dose of metformin (500mg slow release) daily, which my doctor wanted me to continue alongside the tirz.
I have a standard finger-prick blood glucose meter, which honestly, is probably sufficient. I once tracked my fasting BG every day, particularly before the shot and for a day or two after. Spot-checking is simple if you suspect low blood sugar. You don't really need a CGM to tell you that; it feels excessive.
Now, why I started using a CGM again this month... I have insomnia. I fall asleep fine, but I often wake up between 2:30 and 5:00 AM and can't fall back asleep, regardless of what I try. Standard sleep aids don't seem to help. I suspected nocturnal hypoglycemia might be the cause, triggering a cortisol surge and waking me up. So, I put my CGM back on to investigate. I'm on a low dose (2.5mg), so I didn't think it was likely a hypoglycemic event, but you never know. I see my bg consistently decreasing for a day or two post-shot. The lowest reading I saw was 82. I had a few readings in the 70s, but those seemed random. Conclusion: I'm not waking up due to low blood sugar. Maybe that's what's happening to you, though! So, it's worth checking.
My advice: If you're seeing consistent lows with finger pricks, talk to your doc about a CGM. Insurance might not cover it unless you're T1D/T2D, but you can look into discount cards. I paid about $80 recently for a month's supply of sensors using a discount card.
Side note: I agree with @Kelly1976 that it's interesting to see your glucose fluctuations. I think trying to fine-tune carb intake or meal timing based on CGM data is overkill since GLP-1s do most of the work for you. But it's still interesting to see how your body responds to foods, exercise, etc. I experimented before starting Tirz and it was informative. It helped me demonstrate insulin resistance to my endocrinologist.