Is sound electromagnet energy traveling in transverse waves? Or is it gravitational energy?
No and no. Sound is the energy of compression and rarefaction of a medium (like air) that propagates through the medium. The disturbance is longitudinal (in the direction of propagation), not transverse. Electromagnetic energy can also propagate through space in a wave-like way. We call that light. Gravitational energy can theoretically do so as well, but we have only indirectly observed such waves by measuring the energy lost as they are produced.