You've got the tool already, it's in the browser.
Press F12 on the shop, open the Network tab, tick Disable cache then reload the page. The first row is the page itself. Click it and open the Timing tab. The green bar, Waiting for server response, is your TTFB.
Do it twice: once in a private window, that's your anonymous number and once logged in with something in the cart, that's the one an object cache changes.
Reload three times each and take the middle one. The first hit is always slow.
https://web.dev/articles/ttfb explains what counts as good.