When you use HTTPS, the SSL / TLS connection is established before any HTTP traffic is sent, so the entire request (including the URL and its parameters) will be encrypted and will not be readable. The only thing that is visible to a third party is the server certificate (so that they can see the host name, but that's it).
The browsing history is in no way protected by HTTPS, although some browsers may have some “safe browsing” options that could remove some HTTPS URLs automatically. Ultimately, it depends on the browser and its configuration.
Bruno
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