meaning of remember me parameter in wp_signon

I am doing some PHP development and I am logging users to WP using my own scripts.
I use the wp_signon function documented here:

What is the meaning of the "remember me" value in the $credentials parameter?

I have tried with false and true but could not see any difference.

To be more specific, I would like the user to be automatically logged out from WP when he closes the browser.