Hello,
Good that you let us know the basic engine model, but we need to know what machine this is on. Look for the manufacturers label and let us know the model and serial number.
This basic engine does not show to have an electric fuel pump, but it does have an electric solenoid valve on the bottom of the carburetor. You should hear a faint click at the carburetor each time the key is turned on.
From your description fuel is not getting pumped by the crankcase pulse pump when the engine is cranked.
Did you recently add fuel from a fuel can that has been sitting open. Possible water in the fuel?