The electric field lines are going away from the positive charge while the electric field lines are going towards the negative charge as shown below

When the positive charge is brought close to the conducting sphere (conducting sphere means sphere made up of metal which has free electrons in it), the free electrons in the sphere are attracted and they pile up at the left hand side of the sphere. This free electrons movement causes the buildup of same amount of positive charges on the right hand side of the sphere. This phenomenon is shown in the figure below

Now, drawing electric field lines for the positive charges as well as negative charges in the sphere, we get the below figure