Not income, but its income is income. Section 102(b) carves the earnings out of the exclusion in two ways. The income produced by inherited property is taxable, and a bequest that consists of the income from property rather than the property itself is taxable too. So the house arrives untaxed and its rent is reportable from the first month; the portfolio arrives untaxed and its dividends are reportable from the first quarter. Where an estate or trust distributes income to a beneficiary during administration, that income is generally taxed to the beneficiary rather than to the estate, which is why a Schedule K-1 sometimes turns up in the year after a death for someone who was told there would be no tax.
Basis resets, and this is the rule that decides the arithmetic. Under section 1014 the basis of inherited property is generally its fair market value at the date of death, so decades of unrealized appreciation disappear for income tax purposes. The reset is mandatory rather than favorable, which means it works in both directions: an asset worth less than the deceased paid for it is stepped down, and the loss is lost. Two categories are outside it and both are common. Retirement accounts get no reset, because section 1014(c) excludes property that is a right to receive income in respect of a decedent. And in community property states both halves of community property are revalued rather than only the deceased spouse's half, which is a large difference for a surviving spouse.
Retirement accounts are a different animal, and the pre-tax and Roth answers are not the same. An inherited traditional IRA or 401(k) balance is taxed as ordinary income as it comes out, because nothing in it was ever taxed. An inherited Roth account generally comes out free of income tax. Both are on a clock: most beneficiaries have to empty the account within ten years, and in some cases must take something out in each of the intervening years as well. Never treat "inherited retirement account" as one thing; the deadline applies to both and the tax applies to one.
The tax on the estate and the tax on the recipient are two different taxes. The federal estate tax is imposed on the transfer and paid by the executor out of the estate, and because each person can pass a very large amount free of it, it reaches a small share of estates. Separately, a minority of states impose an inheritance tax, which falls on the person receiving the property and is rated by relationship to the deceased. Two points are routinely stated wrongly. A state can levy an estate tax and an inheritance tax, so "some states tax the estate and others tax the recipient instead" is not a reliable taxonomy. And a child is not automatically exempt from a state inheritance tax: at least one state taxes direct descendants at a positive rate while exempting a surviving spouse. State thresholds can also sit far below the federal exclusion, so a family well clear of federal estate tax can still meet a state one.
Why some assets arrive quickly and others take a year. Property leaves a deceased person's hands by one of four routes, and only the last of them involves the court. A beneficiary designation on a retirement account or life insurance policy pays the named person directly and overrides the will. Titling with a right of survivorship, or a payable-on-death registration, transfers by operation of the account agreement. Property already inside a funded trust is distributed under the trust's own terms. Everything left over passes under the will, or under the state's intestacy statute if there is no valid will, and that is the part that goes through probate, waits out a creditor claim period, and takes months. A beneficiary who receives one asset in three weeks and another eleven months later is not being treated inconsistently; the two assets traveled by different channels.
The words "heir" and "beneficiary" are not interchangeable in law, even though they are used loosely in conversation. Under the Uniform Probate Code an heir is a person entitled to take under the intestacy statute, and a beneficiary is a person named in an instrument. Someone can be one without being the other, and where a will exists it is the instrument rather than the intestacy statute that controls.