Spice simulators that utilise GPUs have been available for the last 15 years or more. On circuits like this with only a few few nodes they will not offer any advantage. If you're designing ICs with thousands of transistors the simulators from Empyrean (ALPS-GT) and Synopsys (Primetime Continuum) have got the nod of approval from the design community (feedback to Cooley).
At the LTSpice price point there'sa NGSpice based simulator (CUSpice) that can utilise a GPU for some spice models (IIRC caps, resistors, inductors, voltage and current sources and one or more of the Mosfet models).