High school students can apply for paid 8 week summer apprenticeships in science and engineering with Dept. of Navy labs. You must be a US citizen at least 16 yrs old. Stipend for the Science & Engineering Apprenticeship Program (SEAP) is $3300 for 8 wks, or $3800 for returning students.
College students are eligible for a similar 10 week Naval Research Enterprise Internship Program (NREIP):
Online applications for SEAP and many more details for high school students are here: