In the case of Na0H and HCl, why normality and molarity the same?

Answer 1

you know that N=nM where N is normality, M is molarity and n is a factor depending on the reaction. in an acid-base reaction n for an acid is the number of moles of Hydrogen ions it produces per mole and for a base the number of moles of hydrogen ions it uses per mole. both in NaOH and HCl we have n=1 because they use and produce (respectively) only one mole of hydrogen ion per mole. so the molarity and normality are the same.

Answer 2

Both have one unit of acidity/basicity.