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We discuss a model of gravity with conformal symmetry appearing in thesimplest extension of General Relativity with the Poincar\'e algebra terms. Thenonlinear realization of symmetry causes the existence of five scalar fields.Therefore it looks desirable to use them for driving the inflation at theearliest stages of the Universe evolution. It is shown that the evolution ofthe scale factor doesn't imply accelerated expansion so that there are noinflationary solutions in this model. To drive inflation a more complicatedmodel induced by extension of the Poincare algebra is required.

Inflationary solutions in the simplest gravity model with conformal symmetry