There are 3 things you need.
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You need to oAuth with the owner of those photos. (with the ‘user_photos’ extended permission)
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You need the access token (which you get returned in the URL box after the oAuth is done.)
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When those are complete you can then access the photos like so
https://graph.facebook.com/me?access_token=ACCESS_TOKEN
You can find all of the information in more detail here: http://developers.facebook.com/docs/authentication