  Despite having a reasonably successful account of accelerated cosmology,
understanding the early evolution of Universe has always been difficult for
mankind. Our promising strategy is based on a novel class of symmetric
teleparallel theories of gravity called $f(Q)$, in which the gravitational
interaction is caused by the non-metricity scalar $Q$, which may help to solve
some problems. We consider the locally rotationally symmetric (LRS) Bianchi
type-I spacetime cosmological models and derive the motion of equations to
study the early evolution of the cosmos. By assuming the Hybrid Expansion Law
(HEL) for the average scale factor, we are able to determine the solutions to
the field equations of Bianchi type-I spacetime. We discuss the energy density
profile, the equation of state, and the skewness parameter and conclude that
our models preserve anisotropic spatial geometry during the early stages of the
Universe with the possibility of an anisotropic fluid present. However, as time
goes on, even in the presence of an anisotropic fluid, the Universe may move
towards isotropy due to inflation while the anisotropy of the fluid dims away
at the same time. It is seen from the squared speed of sound that Universe
shows phantom nature at the beginning then approaches to dark energy at present
epoch. We analyze both geometrical and physical behaviors of the derived model.
