Can I see my private browsing history ?

Hello

Private Browsing - Use Firefox without saving history https://support.mozilla.org/en-US/kb/private-browsing-use-firefox-without-history

Important: When Firefox is set to Always use private browsing mode or to Never remember history, you won't see a purple mask at the top of each window, even though you are in Private Browsing mode.

Private Browsing Mode now allows you to instantly clear all data from your current session without closing the entire window. When you select the End Private Session button (the fire icon) to the right of the URL bar, Firefox will ask you to confirm to clear your session. Once confirmed, it will wipe all of your private browsing data and open a fresh new Private Browsing Mode session for you.

For information https://support.mozilla.org/en-US/questions/1582636

What information is stored in my profile https://support.mozilla.org/en-US/kb/profiles-where-firefox-stores-user-data#w_what-information-is-stored-in-my-profile

If you whish to try SQLiteStudio, to see (e.g) places.sqlite https://support.mozilla.org/en-US/questions/1521409

As for me, Firefox is set to, Always use private browsing mode

There might be nuance in what particularly you're asking, or for what reasons.

"Can I see my private browsing history ?"

After you close your private windows, no, there's no browsing history saved.

The ones you still have open can both be seen from other private tabs (e.g. in addressbar suggest, in their own data store so e.g. the history of your searches for that one particular session will be available across the private tabs until you close them all etc.) — and also on the tabs you still have open, you can long press on the back/forward arrows which also keep the history of the locations, as long as you have that tab open.

"I just wanna ask if it’s possible to see my private browsing history?"

That's also a slightly different question. If that means "can anyone else see…" then check Common Myths about Private Browsing — not necessarily on your device, but e.g. in some configurations your router might be logging outgoing domain names so no matter you private browsing on your device, the network gear will have some visibility into it.

Maybe if you elaborate a bit more what exactly do you need to verify? (access your old data vs. hide browsing history from a person vs. hide browsing habits from whoever manages your device or network, vs. hide browsing habits from the sites you use, your internet operator, your government… etc.)