Are there any issues with electricity and the chance of being shocked?
No, the U by Moen shower valve is actually designed so the water is isolated from the electronics. In addition, the system operates under low voltage (12V). All current is properly isolated and sealed (through the controller) and the product is third-party certified by IAPMO (cUPC) to the standards ASSE 1016/ASME A112.1016/CAS B 125.16, ASME A112.18.1/CSA B125.1, UL 1951 and CSA C22.2 Nos. 14 and 68.
A GFCI outlet will provide additional protection. The GFCI is an Earth Leakage Breaker that detects faults to ground. The current threshold is very low, typically 15mA, which means it will trip well before any risks could occur. Jetted tubs already require dedicated GFCIs (110V, 15-20A) for pump/motor and heaters.