About 8 amps worth, if you derate the circuit for 100 percent duty cycle.
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A GFCI can detect ground faults on the specific circuit it is connected to. If multiple outlets are on the same circuit protected by a single GFCI outlet, the GFCI can protect all of them. However, if the outlets are on different circuits or not downstream from the GFCI, they would need their own GFCI protection.
The National Electrical Code typically allows a maximum of 12 lighting outlets on a 15-amp branch circuit and 16 lighting outlets on a 20-amp branch circuit. However, these numbers can vary based on local code requirements, so it's important to check with your local authority having jurisdiction.
Eight on a 15 amp circuit, tweleve on a 20 amp circuit, including the gfci receptacle itself.
If each outlet draws less than 2 amps, then you could control 10 outlets with a 20 amp GFCI outlet on a 20 amp circuit. However, it's worth consulting an electrician to ensure the load calculations are accurate and the wiring is safe for the intended use.
Circuit loading In Canada the code rule is, there shall be not more that 12 outlets on any 2 wire branch circuit. Such outlets shall be considered to be rated at not more that 1 amp per outlet. Where the connected load is known, the number of outlets may exceed 12 providing the load current does not exceed 80 % of the rating of the over current device protecting the circuit.