A solution of a non-electrolyte will not conduct electricity. Non-electrolytes have no charge and therefore cannot carry the electricity. Positively charged particles are called cations . Negatively charged particles are called anions . The term salt refers to a compound made up of cations and anions together - the numbers of each balancing the total charge to be zero.
Salts are stable compounds held together by ionic bonds .
Ionic bonds are strong bonds, formed by the strong electrostatic interactions between the oppositely charged particles. The ions become solvated. Think back to water. Draw a solvated cation and a solvated anion. So many water can surround the cation and the anion, that they can be shielded from one another and stay separated in the solvent - forming a solution.