I have a laptop that uses a I5-520m (plus an dscrete GPU) which is basically the same as that i3 but at a bit lower clockrate, but I haven't tried it with Dolphin in like 3 years. Nevertheless, 3 years ago it could only really run undemanding games like New Super Mario Bros. Wii, and even then I am unsure if it could run them at full speed.
Dolphin 5.0 CPU benchmark
CPU: Pentium G3258 @ 4.5GHz 1.24v
GPU: Intel integrated
RAM: 4x4GB Corsair Vengence @ DDR3-1600
OS: Linux Mint of some variety + [VM] Win7 SP1 x64
CPU: Pentium G3258 @ 4.5GHz 1.24v
GPU: Intel integrated
RAM: 4x4GB Corsair Vengence @ DDR3-1600
OS: Linux Mint of some variety + [VM] Win7 SP1 x64