Both techniques are used to the amount of chemical present in the solution. However they are almost similar but differs in

Molarity:

► Molarity is used to know the total amount of molecules in a 1 litre solution

► It is expressed as moles of a compound per litre of solution

Normality:

► Normality is used to know the total number of reactive units in 1 litre of solution

► It is expressed in equivalent per litre