The lecture on Special Relativity was focused on: vectors and tensors under rotation and Lorentz invariance; causal structure of Minkowski space-time; point particle action; Lagrangian density; covariant formulation of electrodynamics.

Overview of these topics in the spirit of the field-theoretic approach to GR can be found in:

Weinberg's "Gravitation and Cosmology" (Chapter 2) - clear, brief and self-contained overview of the SR ingredients required for the GR

Zee's "Einstein Gravity in a Nutshell" (Part III, IV) - similar in spirit to Weinberg but much more detailed and verbose. See also Part VII of Zee's  "Group Theory in a Nutshell for Physicists" that provides a beautiful discussion of group-theoretic aspects of Lorentz and Poincare symmetries

Sidney Coleman's Lectures on Relativity - very nice recent book based on Coleman's lecture notes. It is significantly outdated in regards to the applications of GR but the discussion of special relativity and classical field theory is excellent. In particular, it provides much more detailed discussion of classical field theory in contrast to most GR books.