As said, a 500w heater will not produce a lot of heat quickly, so it will take time to warm the room.
(My well insulated 3m x 2m workshop has a 80w heater for when it is frosty. It takes about two days before it feels just warmer than outside
A thermostatically controlled fan heater may be a better method. Usually, these give a choice of 2Kw, 1 Kw, or fan only (so can be used in the summer)
It may be that the method is to use the gas fire to bring the room quickly to temperature, and then use the low power electric heater to maintain it.
A gas fire, depending upon the efficiency will probably deliver more heat, so the room will warm more quickly.
But it may be necessary to balance the cost of heating, (and the purchase cost of the appliance) against the cost of the means of heating.
It depends upon one's circumstances, how well insulated the dwelling is, and whether or not is drafty.
Only the OP can make those decisions, based on advice and information