Haymitch sends her a spile and they stick it in the trees after creating a hole so that the precious metal would not be ruined, and water comes out of the tree when positioned at the right spot.
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When she has burns on her leg, she soaks her leg in water. It also helps keep her alive when she is thirsty.
Food Iodine to clean water and a sleeping bag.
The book tells of how Katniss survived after her father was killed in the mines. How she survived and helped her family to survive. Also the Hunger Games it self is about survival, the last person alive being the victor.Read more: Is_survival_a_theme_in_The_Hunger_Games
In the first book Katniss' Father tells her "You can survive as long as you can find your self." He was talking about the plant but it has a deeper meaning. It is saying once Katniss found herself (The Mockingjay) she defeated the Capitol, thus in a way "surviving."
It Reminds her of her father.
The answer could be different but Katniss might have gotten killed if she would have startled the Tracker Jackers. or if she wouldn't get killed by the Tracker Jackers the tributes would probebly end up getting her becouse of her wounds or lack of water or food