To synthesise 1-phenyl-1,4-butanediol from the lactone of 4-hydroxybutanoic acid i would use these reagants in this order = (i) K2CO3 in dimethylformamide followed by (ii) PhMgBr with an aqueous acid workup
Is the purpose of K
2CO
3 to open the lactone to the carboxylate? Grignards don't react (in textbooks) with carboxylates, and there will be issues using a Grignard in the presence of a free hydroxyl.
Personally, I would start by adding 1 eq PhMgBr to the lactone. At low T the intermediate hemiketal should be stable enough to slow a second addition to the product relative to the first addition. This is true for sugar lactones, for which single addition of MeMgBr works very well.
Next I would reduce with sodium borohydride.
The other obvious strategy is to reduce to the aldehyde first with DIBAL, then add Ph to the aldehyde. However, in this case the free hydroxyl may cause some problems with strongly basic reagents such as Grignards.