The Standard Les Paul has is heavier, providing more natural sustain. It's also got 4 knobs, 2 knobs (1 volume, 1 tone) for each pickup. It also sounds better compared to the Special II model, which is lighter, and has only 2 knobs. I am not too sure on this, but i think their necks are bolt-on. But hey you're comparing a $1k guitar and a $300 guitar. There's obviously a big gulf there.
Try playing both and see which you prefer.