Nope, normal flu and normal flu shots will not confer any immunity against H1N1. H1N1 is unique because it's a new strain that no one has immunity to. Thankfully, while it might kill off some otherwise healthy adults, it doesn't really kill MORE people than normal influenza does, so the chance that it will kill you is pretty remote. Treat it basically like any other influenza, if you catch it, but go to a doc if you get severe respiratory symptoms or it doesn't get better quickly enough.
I had heard they were supposed to have a flu shot out for it sometime this month.