He could be either way... either like his father...or he could have two copies...
If he had a brother and he was much lighter that the brother, then you’d expect he would be double for barring, and the brother only carrying one barring gene.
But I just did a bit of reading on cuckoo silkies... and learned enough to know that determining a double barring male by light color might be harder with silkies that in other breeds like barred rocks, etc
Likely the only real way to know is to do a test mating...to an unbarred hen.
For instance if you crossed him with a black hen, and he carries just one barring gene, then the offspring has a 50% chance of being unbarred black. If he carries 2 copies all of his offspring will be barred.
Or put another way, if you cross him to a black hen and get any black offspring you know he’s not carrying two copies of the gene.
You could also just hatch another larger batch from your original parents and hope to get a male offspring with double barring... selecting the lightest barred male for instance.