What mass of LiSO4 (110 g/mol) is required to prepare 30mL of 0.20M LiSO4?

You mean Li2SO4.

How many mols Li2SO4 do you need? That's mols = M x L = ?
Then mol Li2SO4 = g Li2SO4/molar mass Li2SO4. You know molar mass and mol, solve for grams.