I'm left-eye dominant and shoot right handed. The following works well for me, ymmv:
- Modified weaver stance
- tilt my head slightly till the left eye is slightly closer to the front site
- keep both eyes open
- focus on the front site
Closing an eye makes me tired and gives me a headache.
That's with handguns of course. One reason I mostly shoot handguns is the eye dominance issue. I never could get comfy with a rifle for any length of time.