It does. Google is good example. I have fully closed my computer for a while and restarted it and session is still there. It is amazing just how long they can last if you regularly use it.
Here is what MDN[1] says about session cookies:
> Session cookies — cookies without a Max-Age or Expires attribute – are deleted when the current session ends. The browser defines when the "current session" ends, and some browsers use session restoring when restarting. This can cause session cookies to last indefinitely.
I was unaware of the "session restoring" point. This has to be considered if wanting to "unforget" the use of session cookies.
[1] https://developer.mozilla.org/en-US/docs/Web/HTTP/Cookies
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