An electromagnetic response of a single graphene layer to a uniform, arbitrarily strong electric field E(t) is calculated by solving the kinetic Boltzmann equation within the relaxation-time approximation. The theory is valid at low (microwave, terahertz, infrared) frequencies satisfying the conditionhω < ∼ 2EF , where EF is the Fermi energy. We investigate the saturable absorption and higher harmonics generation effects, as well as the transmission, reflection and absorption of radiation incident on the graphene layer, as a function of the frequency and power of the incident radiation and of the ratio of the radiative to scattering damping rates. We show that the optical bistability effect, predicted in Phys. Rev. B 90, 125425 (2014) on the basis of a perturbative approach, disappears when the problem is solved exactly. We show that, under the action of a highpower radiation ( > ∼ 100 kW/cm 2 ) both the reflection and absorption coefficients strongly decrease and the layer becomes transparent.