No. Gig workers are "self employed", who traditionally do not pay unemployment insurance such that traditional employers do (as a sole proprietor; if you incorporate and pay yourself as an employee, you would then be eligible for unemployment insurance; I imagine this is very rare as a gig worker, and unsure if any platforms support such a configuration).
This legislation doesn't change that, but it likely pulls some of those gig workers out of the system, as they might collect more on unemployment than working limited gig work available. TBD if this puts supply pressures on platforms.
Personal opinion: The stimulus is generous enough it's going to cause gig platforms to bleed out, as the stimulus is directed at the workers, not at the platforms. Bird is already performing mass layoffs. [1]