A "paid internship program sponsored and paid for under the Department of Energy's Office of Science’s Office of Workforce Development for Teachers and Scientists (WDTS)" sounds like a "stipend". I would enter it as scholarship (Schedule 1, Line 8r). The first $15,570 will avoid the kiddie tax.
Otherwise, you report it as self employment subject to 15.3% self employment tax*. You enter at the 1099-Misc section and answer that your intent was to earn money.
*Effectively 14.13%, instead of the stated rate of 15.3%, after the convoluted calculation.
