I figured that subtracting the sphere shape from a one-side cube would do the trick but sketchup doesn’t seem to have a subtracting feature…
There’s Subtract in the Solid Tools set.
It’s hard to tell from your drawing where the sphere comes into play. It looks like a cube that is open on one side with a circular hole through it. For that you don’t need anything special. Rectangle, Circle, Push/Pull, and Offset.
making it into one component was the key I struggled to find