Rated at 240 W, 20 A, it looks like this is a 12 V output power supply.
If you connect a 12 W 12 V device to it, the device will draw 1 A from the power supply.
The power supply will draw 12 W from the mains to power the device, and in addition will draw a few watts more to run itself, and supply its losses. You may have graphs or tables of the efficiency of the power supply at various loads, in which case you can estimate accurately what the extra power drawn will be. You can rest assured that it will be a lot, lot less than 240 watts.
It rather depends on the designer of the power supply, and what specification he was designing to. The specification may have required a no-load power consumption of less than one watt, to meet certain green requirements. Absent that, the designer might have reasoned that in a 240 W power supply, nobody would care if the no-load consumption was 10 watts. You'll need to read the data sheet, or do a measurement.