Hi - I am green card holder (married to US citizen) working here in the US. I am a Canadian citizen by birth. I file taxes here in the US and not Canada. My father (Cdn citizen) recently passed away in Canada and left me a sum of money in excess of $100,000.00.

What are the tax consequences to me, federal and state, once this money is placed into my US bank acct?

There is no tax on inheritances. Only requirement is that the money coming to the U.S. is actually inheritance or gift. If the amount exceeds $100,000, you must file Form File 3520 Annual Return To Report Transactions With Foreign Trusts and Receipt of Certain Foreign Gifts.
Read about inheritances: Your U.S. Tax Return: Tax on Inheritances