Yes, the LC arrangement is able to shape pulses into a sinewave.
It can shape a plain AC square wave into a sinewave.
You can also put the LC in series.
Henry and Farad values need to be customized to suit frequency, voltage, load.
It is important to correct for power factor error, so that Ampere waveform through the H-bridge aligns with applied voltage. The L value has the chief influence. Greater L causes current to lag voltage, as well as reduces current. With a simulator we can see the result of various L & C combinations.