Lewis Structure of H2O, water, dihydrogen monoxide 

Water has oxygen (a non-metal) bonding with hydrogen (also non-metals) and this means there is a SHARING of electrons (covalent bonding) between them.
Each hydrogen shares ONE electron with the oxygen, and oxygen shares ONE electron back with each of the hydrogens; this completes the outer shell of oxygen (it now has a complete octet) and hydrogen is satisfied as well (it obeys the "doublet rule" and not the octet rule, so it is happy with just two electrons).
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