In chemistry, a hydration reaction is a chemical reaction in which a substance combines with water.
A hydrogen bond is an electrostatic attraction between two polar groups that occurs when a hydrogen (H) atom, covalently bound to a highly electronegative atom such as nitrogen(N), oxygen (O), or fluorine (F), experiences the electrostatic field of another highly electronegative atom nearby.
So in brief, hydration is nothing but adding water to the compounds,
Where hydrogen bonds are a kind of force of attraction between two atoms.