I've been using the Libre 2, but, my understanding is that it's mostly identical to the Libre 14 day (the only difference is the Libre 2 has alarms for lows / highs).
I don't have a reader, I use the phone app, so, I can only really comment on how that works and what it offers. The phone app is syncing the data up to the cloud. You can log into
https://www.libreview.com/ with the same credentials as the app and access your data and reports. You can also download the raw data and see every single reading the sensor has collected on its own every 15 mins (stored/historical/continuous) and the readings you have scanned ad-hoc with your phone (it separates the two types). The website also has a number of reports you can look at to see trends over time, similar to the app.
I originally had the app setup on my phone, but, this wasn't great for when I was out because DH couldn't scan. Only one phone can be "connected" to the sensor at once, but the real annoyance is that even if you signed both phones into the same account and hot-swap which one is connected to the sensor, the phone app will only ever show you the data you scanned. It still syncs it to the cloud where you can see all the data from both devices, but, there just isn't a way to get the data DH scanned on his phone onto my phone. Not a big deal, just annoying.
In the end I just dredged up an old phone and now Cinna has his own phone. No sim, it just connects to the wifi and has the app.