Anne listened to some English radio. Being in a country occupied by the German forces, it was illegal to listen to broadcasts from the Allied forces (and the Dutch goverment in exile). But, as Anne explained in her diary, this was a lifeline of hope for them in hiding. Anne surely heard some of these BBC D-Day broadcasts. (For instance, she mentioned hearing Eisenhower's address, which is on that page.) More BBC D-day radio broadcasts
    Radio Oranje, was the short radio programs the Dutch government in exile broadcasted from the BBC in London. A Dutch informant sent me two clips: the sign on and a song and a song mocking Goebels; they are 2 minutes and 3.5 minutes. Both are in Dutch. The signon starts with a morse-code V (...-) repeated three times. V is presumably for Victory." (I took these offline because I suspect they are causing excessive transfers which makes Geocities take the entire site down for an hour. for them: tell me which one you want.)
    After Anne's death, Bergen-Belsen, the concentration camp she died in, was liberated. Here is an early report from the BBC (15 April 1945). (link does not work in Firefox) Finally, the BBC's WWII page.