Name two plant structures that are essential for conduction of water and nutrients?
Different kinds of plants have different types of systems for distributing nutrients and water throughout the plant itself. I am assuming you are asking specifically about vascular plants.
Xylem and phloem are the two types of specialized plant tissue that transport nutrients and fluids in plants.
Xylem cells, often referred to as wood or woody cells, are usually found in the inner structure of a plant and are not living cells. Xylem sap flows as a result of transpiration, evaporation of moisture from the surface of cells exposed to the air that pulls more moisture into the cell, or root pressure, water pressure from the ground forcing moisture into the roots and up the xylem tissue.
Phloem cells are living tissue that transport the nutrients made during photosynthesis to all parts of the plant.