Early indications are that Keir Starmer will announce an as yet un-named bill in the King's Speech (in May) that will underpin the (re)alignment with a range of EU laws thereby making more concrete the emerging strategy of re-engaging with EU regulations sector by sector.
However, it is unlikely that this will still the accusation(s) from Europe that the UK still seeks to cherry-pick the advantages of the EU, while avoiding a range of collective commitments.