Mage::getSingleton('checkout/session')->getQuote() ->getShippingAddress() ->getData(); Mage::getSingleton('checkout/session')->getQuote() ->getBillingAddress() ->getData(); 
They will give you arrays with billing and delivery information for the current order. Depending on the context, you can also call
 Mage::getSingleton('checkout/session')->getQuote() ->collectTotals(); 
To taxes, subtotals, etc. were right.