Does a scenic easement give the public any right to access, enter on, or use such lands?

Generally, no. Any provisions for public use of private lands must be specifically included in the terms of the easement. Depending upon the terms and conditions of each easement, public access rights may or may not be involved. For example, a scenic easement may only involve the protection of narrowly defined visual qualities with no provisions for public use. A trail or road easement by necessity may involve public use provisions.

Source
Interagency Wild & Scenic Rivers Council