I've drawn the mechanism for this reaction and attached it.
The first step is where the pi-bond in propene induces a dipole in Cl2, and this causes the pi-bond to attack the delta-positive end of Cl2. The covalent bond in Cl2 undergoes heterolytic fission, hence forming a carbocation intermediate along with a chloride ion.
In the second step, the chloride ion acts as a nucleophile as it has a lone pair of electrons, which the carbocation can accept. Hence, this nucleophile attacks the carbocation, and forms a new C-Cl bond - the reaction is then complete.
The product formed is 1,2-dichloropropane.