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

Academic Scholarships
Separate application needed: No

Lawrence University provides aids at an average of 41820 per student meeting 96% of students need. 99% of students with need receive financial aid at an average of 36619 need-based grant. They also provide other scholarships including Ted Cloak Century Scholarship and National Hispanic Recognition Program Scholarships.