Well, the world technically wouldn't be here (not as we know it, anyway). The Sun also gives out other forms of radiation on the electromagnetic spectrum (of which visible light is only a small part), giving warmth to our planet.
Assuming everything is still intact, and just that the visible portion of the spectrum is replaced with green light only, then no it likely wouldn't be the same green. The atmosphere of our planet scatters light (why the sky is blue and sunsets are red), so the colour would change hue.