Is gifted money considered income

NO. As long as it is a QUALIFIED gift that you are receiving according to the IRS gov website definition of a gift.

Any transfer to an individual, either directly or indirectly, where full consideration (measured in money or money's worth) is not received in return.

The person who receives the QUALIFIED gift does not have to report the QUALIFIED gift amount to the IRS or pay gift or income tax on its value.

However, what you call a gift and what the IRS defines as one may be different.

Go to the IRS gov website and use the search box for Gift Tax

Frequently Asked Questions on Gift Taxes