TurboTax Premier, whether the online version or installed version, supports entering a K-1 (1041) you received from a trust or estate.
If you need to prepare a Form 1041, then you need TurboTax Business, an Intuit product that is capable of preparing income tax returns for entities, such as an estate or trust.
I search for this form in “Open Form” and it is not present. Nor is it in the “Federal Forms” dropdown menu.
You don't search or open a 1041 form. You enter the K-1 into your tax return.
Or do you need to prepare a 1041 Estate/Trust return? You need Turbo Tax Business. The small business program (TT Business) is for 1120 Corporation, 1120S Corp, 1065 Partnership or 1041 Estate/Trust returns and will not do your personal 1040 return. It is a separate program from the Desktop Home & Business program or the Online Self Employed version.
Turbo Tax Business is not available to do online or on a Mac. You can buy the Window's version here. And you can have both TT Business and TT Home & Business (or any personal version) installed on your computer at the same time.