We present extensive new ab initio path integral Monte Carlo (PIMC) simulations of normal liquid 3 He without any nodal constraints. This allows us to study the effects of temperature on different structural properties like the static structure factor S(q), the momentum distribution n(q), and the static density response function χ(q), and to unambiguously quantify the impact of Fermi statistics. In addition, the dynamic structure factor S(q, ω) is rigorously reconstructed from imaginary-time PIMC data, and we find the familiar phonon-maxon-roton dispersion that is well known from 4 He and has been reported previously for two-dimensional 3 He films [Nature 483, 576-579 (2012)]. The comparison of our new results for both S(q) and S(q, ω) to neutron scattering measurements reveals an excellent agreement between theory and experiment.