I don't know which light meter will you intend to use but normally light metter often measure illuminance in lux. I think you can use a solar panel to measure light intensity by calculating power and temperature. Hope to hear good news from you
Short answer - you can't with any precision. Illuminance, in lux, is the integral of power density (power at wavelength) weighted by the luminosity function (see wikipedia articles on 'lumen' or 'luminosity function' It is impossible to precisely map illuminance back to irradiance but some kind of approximation may be possible. However, a light meter is almost certainly, at its core, a photovoltaic device, which measured W/m2 (at some spectral response) so it might be hacked if one could get at the internal circuitry.
I recommend the optical power meters from Thorlabs (wavelengths from 190 nm to 20 µm Powers from 500 pW to 10 W possible), which can directly display the average power density in W/cm² or the energy density in J/cm².