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The players version of the DMG contains a couple of class archetypes, races and some equipment - it doesn't contain the magic items. It's available in the usual way; click library, then on the modules button and you'll find it in the list of modules available - unless the DM has disallowed access for some reason.
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I dont believe that the Wizards intended the whole Magic Items list to be available to the players.
Of course every game is different and every one plays games differently.
You can share the DMG if you want, even though its advised that you dont, but it will severely limit what else you can share with them.
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Or just share the table of magic items from the DMG. Then share the individual items as needed/desired by the players. Not ideal, but workable.