The discovery of a Higgs boson with a mass of about 125 GeV by the ATLAS and CMS collaborations at the LHC has given access to a new fundamental sector of the Standard Model. The existence of this new particle provides the opportunity to measure its properties, such as the Higgs boson spin and mass, the coupling of the Higgs boson to gauge bosons and to fermions. The precise measurement of the Higgs boson mass is considered crucial to understand the stability of the Standard Model vacuum and the possible link between the physics at the electro-weak scale and the Planck scale. Experiments can shred light on the Yukawa coupling of the Higgs boson to fermions, which is a new kind of fundamental interaction. Run 2 of the LHC was completed in 2018 and provided about 140 fb$^{-1}$ of data. These proceedings discuss the state of the art of the 125 GeV Higgs boson measurements and their implications for the understanding of the Higgs sector.