My installation of WordPress doesn't remember or display that I'm logged in. If I click the "Login" link when I first open my browser, it will show the login page and then take me to the Dashboard.
But if I go back to my site, it still says "login." If I click the "login" link, it takes me right back to the Dashboard, so obviously it knows I'm logged in, but just doesn't display properly.
Something's broken in my installation, but I don't know what. I've created a clean, separate testing install of WordPress, on the same server, including all the same plugins and posts, and the login behavior works perfectly well there.