I received an email to upload a recommendation on behalf of a student, can the student see this?

No, the Student is unable to see this documentation unless you send it directly to them.

Once the recommendation form/letter is uploaded and submitted, it is sent directly to the organization.

The recommendation will then be a part of the submitted application, but the Organization is the only one able to view this documentation. The Student is unable to see this documentation unless you send it directly to them.