  We investigate the optical properties of the normal state of the
infinite-layer La$_{1-x}$Sr$_x$NiO$_2$ using DFT+DMFT. We find a correlated
metal which exhibits substantial transfer of spectral weight to high energies
relative to the density functional theory. The correlations are not due to Mott
physics, which would suppress the charge fluctuations and integrated optical
spectral weight as we approach a putative insulating state. Instead we find the
unusual situation, that the integrated optical spectral weight {\it decreases}
with doping and {\it increases } with increasing temperature. We contrast this
with the coherent component of the optical conductivity, which {\it decreases}
with increasing temperature as a result of a coherence$-$incoherence crossover.
Our optical studies support a picture of a Hund's metallic state, where
dynamical orbital fluctuations are visible at intermediate energies, even if at
low energies the Fermi surface has primarily $d_{x^2 - y^2}$ character and we
propose a low-energy two-band model with atom centered $e_g$ states.
