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Please give me a pillow and blanket.
Literal
Pillow [and-と] blanket [object-を] give-[please-下さい].
[noun]をください is the direct-object form of polite request — 'please give me X.' Distinct from [verb]てください ('please do X for me'), this asks for the items themselves rather than for someone to perform a fetching action. The conjunctive と links pillow and blanket as a single request unit.