Thanks for your question.
My condolences on the loss of your father. The inheritance itself would not need to be reported on your income tax. Also, there is no estate or inheritance tax involved on this amount.
When you inherit a regular brokerage account, your basis of any securities (stocks, bonds, mutual funds, etc.) in the account would be their value at the date of death. So when you sell the securities, you would have to figure out if you had a taxable gain or loss by subtracting this basis from your sales proceeds. The gain or loss would be a long-term capital gain or loss. You should receive a 1099-B after the end of the tax year in which you sell securities. If there is any interest or dividends earned after the date of death to be included with your tax return, you should receive a 1099 for these amounts also.