In this paper, the fundamental limits of simultaneous information and energy transmission in the two-user Gaussian interference channel (G-IC) without feedback are fully characterized. More specifically, an achievable and converse region in terms of information and energy transmission rates (in bits per channel use and energy-units per channel use, respectively) are presented. The achievable region is obtained using a combination of rate splitting, power-splitting, common randomness and superposition coding. Finally, the converse region is obtained using some of the existing outer bounds for the information transmission rates, as well as a new outer bound for the energy transmission rate.