Yeah, Stony Brook University does provide scholarships based on merit. Here are some of them:

Presidential and Provost’s Scholarships
Separate application needed: No

Valedictorian and Salutatorian Scholarships
Minimum Criteria: a minimum high school GPA of 90%
Separate application needed: No

Honors College Scholarships
Separate application needed: No

Stony Brook University provides aids at an average of 14202 per student meeting 70% of students need. 99% of students with need receive financial aid at an average of 10601 need-based grant. They also provide other scholarships including Alumni Association Black and Latino Alumni Network Scholarship and Alumni Association Past Presidents Scholarship.