  The general structure of the spherically symmetric solutions in the Weyl
conformal gravity is described. The corresponding Bach equations are derived
for the special type of metrics, which can be considered as the representative
of the general class. The complete set of the pure vacuum solutions is found.
It consists of two classes. The first one contains the solutions with constant
two-dimensional curvature scalar of our specific metrics, and the
representatives are the famous Robertson--Walker metrics. One of them we called
the "gravitational bubbles", which is compact and with zero Weyl tensor. Thus,
we obtained the pure vacuum curved space-times (without any material sources,
including the cosmological constant) what is absolutely impossible in General
Relativity. Such a phenomenon makes it easier to create the universe from
"nothing". The second class consists of the solutions with varying curvature
scalar. We found its representative as the one-parameter family. It appears
that it can be conformally covered by the thee-parameter Mannheim--Kazanas
solution. We also investigated the general structure of the energy-momentum
tensor in the spherical conformal gravity and constructed the vectorial
equation that reveals clearly some features of non-vacuum solutions. Two of
them are explicitly written, namely, the metrics \`a la Vaidya, and the
electrovacuum space-time metrics.
