What was God original intention with the Garden of Eden?

If Adam wouldn´t have eaten the apple, God would have shoven it up his mouth anyways, otherwise there would be no continuation of the story. The curios fact is that in early books of the Old Testament the "forbidden fruit" is grapes and not apple. There is a theory that says that grapes were replaced with apple in order to make it more understandable for the European "users" so to speak, especially from the Nothern part of it.

we would have had life eternal and be companions to our GOD! believe if we had waited till we had grown closer to God and proved ourselves worthy we would have been given permission to eat of it the thing is adam and eve did not wait so directly dissobeyed God!

Many things assumed here, not one single proof. First you assume that God exists, then that it is the God of christianity, then that the bible is to be taken as the literal, not simbolic world of god. Why this creation tale and not other? Could just two humans give origin to all others, and the inevitable incest it would generate, isn't it sin? Can add a lot of questions here just to point problems with this tale.

Yes, we could have been immortal with God in Paradise...God gave us the free will, to choose between good and evil. That's why the tree was there.