Image via 9to5MacPreviously, getting Siri to properly pronounce names required a user to edit the "phonetic name" for a contact and manually adjust the spelling until Siri pronounced the name the correct way. Now, as 9to5Mac notes, a user can simply say "pronounce [insert name here]" to put Siri through a simpler name pronunciation learning process.
Within that process, Siri will ask the user to pronounce the name and then present a couple of pronunciations based on how it heard the user. The user is then prompted to select a pronunciation, which Siri will from then on attempt to use when saying the name in question.
While the feature was in iOS 7 Beta 1, it's unknown at this point whether there have been improvements in the recently released Beta 2.