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Need more details for better advice. Climate? Terrain?
Visit a Decathlon store if there's one near you.
At minimum you need a sleeping mat, close cell foam ones are cheap and impervious to punctures; summer weight sleeping bag; two person tent- avoid bottom of the barrel ones as their failure will be problematic in your trip.
I would recommend against tarps for beginners unless you're willing to practice setting it up appropriately before your departure, and they offer no protection against bugs.