Hydrogen bonding is a type of electrostatic interaction occurring in molecules in which the H atom is sandwiched between highly electronegative atoms like F, O, and N, one to which it is covalently bonded. For example, HF, H2O, NH3, etc.

The strong covalent bond polarization between the small H atom and a highly electronegative atom (like F, O, and N) creates dipoles.

When such molecules associate, they do so with their dipole to have dipole-dipole interactions. But only a small class of molecules have such high electronegative atoms. Therefore, though such molecules are polar and show dipole-dipole interactions, the Hydrogen Bonding interactions are relatively stronger and treated separately than the other intermolecular Vander Waal interactions- Debye, Keesom, and London Dispersion Forces.
For example, only HF shows Hydrogen Bonding dipole-dipole interaction. HCl, HBr, and HI will not show Hydrogen bonding, but they will interact using Vander Waal Keesom Forces (dipole-dipole interactions).

Hydrogen Bonds, a significant intermolecular force in organic chemistry is covered in detail in CurlyArrows' Introductory Organic Chemistry Course. Preview the Book.
Related Reading-
Introduction to Vander Waal Forces