Simple chemical cell

Take Zn/ZnSO4 and Cu/CuSO4 half-cells as an example.
The salt bridge is soaked in NaCl (aq).

=====
I'd like to know whether electricity would still be produced if there is no salt bridge.

Ans: No, no electricity would be produced because the circuit is open.

=====
Also, my chem book says that Cl⁻ ions would move to the Zn/ZnSO4 cell and Zn ions would move to the salt bridge. Would they react to form ZnCl2?

Ans: There is no reaction between zinc ions and chloride ions. Originally, the zinc electrode is dipped into a solution containing zinc ions and sulphate ions. Finally, the zinc electrode is dipped into a solution containing zinc ions, sulphate ions and chloride ions.

=====
My last question is that would the reaction finally stop (because all zinc has changed into zn ions?) even when the salt bridge is present?

Ans: The reaction will finally stop when one of the reactants, zinc metal and copper(II) ion, is completely reacted. However, we always stop the experiment after taking the observation, but would not wait for the stop of the reaction.

Reaction does not necessarily stop only when one of the reactants is used up, if you talk about the reduction potential of the 2 half-cells or the equilibrium position of the reaction...
As reaction proceeds, the reduction potentials of the two half cells come close to each other,

2014-05-28 05:43:47 補充：
eventually the cell potential reaches zero at certain point.

Or think with equilibrium constant.