Copper sulfate is not normally made in a small laboratory, because it is much easier just to buy it.
There are some ways to make copper sulfate, however.

Copper(II) sulfate can be made by electrolysis of a solution of sulfuric acid with copper electrodes.
Hydrogen is made, as well as copper sulfate solution.

Cu + H₂SO₄ → CuSO₄ + H₂
It can also be made by reacting copper(II) oxide or copper(II) hydroxide or copper(II) carbonate with sulfuric acid or by adding copper to heated concentrated sulphuric acid:    
CuO + H₂SO₄ → H₂O + CuSO₄
Cu(OH)₂ + H₂SO₄ → 2 H₂O + CuSO₄
CuCO₃ + H₂SO₄ → H₂O + CuSO₄ + CO₂
Cu + 2H₂SO₄ → CuSO₄ + H₂O + SO₂
It can also be made by reacting copper with a mixture of nitric acid and sulfuric acid.
Copper sulfate is not normally made in a small laboratory, because it is much easier just to buy it. There are some ways to make copper sulfate, however.
Copper(II) sulfate can be made by electrolysis of a solution of sulfuric acid with copper electrodes. Hydrogen is made, as well as copper sulfate solution. 
Cu + H₂SO₄ → CuSO₄ + H₂
It can also be made by reacting copper(II) oxide or copper(II) hydroxide or copper(II) carbonate with sulfuric acid or by adding copper to heated concentrated sulphuric acid:    
CuO + H₂SO₄ → H₂O + CuSO₄
Cu(OH)₂ + H₂SO₄ → 2 H₂O + CuSO₄
CuCO₃ + H₂SO₄ → H₂O + CuSO₄ + CO₂
Cu + 2H₂SO₄ → CuSO₄ + H₂O + SO₂
It can also be made by reacting copper with a mixture of nitric acid and sulfuric acid.
Copper(II) sulfate