Could it be Rosemary? Or does it have a rosette at the base that all the branches are growing from? In which case it's not Rosemary!

Is it a herb? I don't recognise it. Where did you find/get it ?

If it was growing wild then I suspect it might be scentless mayweed. White daisy flowers in summer. Pretty wild flower, and not of great use in the herb garden

My first thought was Rosemary but looking more closely ... No, don't think so - leaves don't look right

Its out of the herb garden, I bought it from the garden centre, unfortunately label gone.