Charmonia, bound states of charm and anti-charm quarks, represent an interesting probe for the study of Quantum Chromodynamics (QCD) since their production involves both hard and soft energy scales. Several effective models are available to describe the production of charmonia, but so far none have been able to describe all experimental observables simultaneously. ALICE has studied the production of charmonia in different collision systems at all available LHC energies at both mid- and forward-rapidity down to zero transverse momentum. In this contribution, different measurements performed in proton-proton (pp) collisions are presented, namely $p_{\text{T}}$-differential cross sections of inclusive $\text{J}/\psi$ and $\psi(2\text{S})$, inclusive $\text{J}/\psi$ polarization measurements and the latest results on correlations between inclusive $\text{J}/\psi$ and unidentified charged hadrons. The results are also compared to model predictions.