Settle on a hill with a couple of food tiles and forests, start with a scout scout to get something good from the goody huts (not monument, worker). Steal 2 workers from CS with the scouts, beeline for Writing, then Mining. Start building GL the moment you get writing. City grows asap until Writing, then switch to production focus or do that manually. Workers chop down forests while building. Adopt Aristocracy asap.
Works on Immortal like 90% times (chances grow with slower game pace), on Deity gives you a small chance of succeeding (but I'm not trying this on Deity), I'm pretty sure it will work in MP, at least till your friend resigns of building it and goes for early CB rush and crushes your defenseless civ