Quantum　entanglement　marks　a　definitive　feature　of　topological　states.　However,　the　entanglement　spectrum　remains　insufficiently　explored　for　topological　states　without　a　bulk　energy　gap.　Using　a　combination　of　field　theory　and　numerical　techniques,　we　accurately　calculate　and　analyze　the　entanglement　spectrum　of　gapless　symmetry　protected　topological　states　in　one　dimension.　We　highlight　that　the　universal　entanglement　spectrum　not　only　encodes　the　nontrivial　edge　degeneracy,　generalizing　the　Li-Haldane　conjecture　to　gapless　topological　states,　but　also　contains　the　operator　content　of　the　underlying　boundary　conformal　field　theory.　This　implies　that　the　bulk　wave　function　can　act　as　a　fingerprint　of　both　quantum　criticality　and　topology　in　gapless　symmetry　protected　topological　states.　We　also　identify　a　symmetry　enriched　conformal　boundary　condition　that　goes　beyond　the　conventional　conformal　boundary　condition.