In ranges where glasses are transparent (=non-absorbing), you can simply invert the reflectance formulas to obtain the index of refraction function (do not forget to use the formulas for thick slabs to include multiple reflection! We are talking about specular reflectance, right?!). If the glasses are aborbing, you obtain the complex index of refraction by a Kramers-Kronig analysis. A simple way to implement this is using the improved "Poor Man's Kramers-Kronig analyis", see e.g. Article Improving Poor Man's Kramers-Kronig analysis and Kramers-Kro...
Preprint Determination of refractive index of various materials on Br...
This paper is referenced and free for reading about refraction index measurement with Brewster approach. Advantage of the method that You need just single measurement Brewster angle and RI value in your hands.
Sure. You are right. Miss Santa spectral measurement could to be done on Brewster angles that change following to RI spectral dispersion for the used type of glass.