"Cleared for the ILS approach rwy xx" is a procedural clearance, ie to the initial approach fix, round the procedure and onto the ILS with no vectors - pilot nav all the wy round. The nature of the ATC unit (procedural or radar) is irrelevant.
With radar vectors to the ILS you get descent instructions and headings all the way to a closing heading (closing the localiser from the l/r, x miles to touchdown), an instuction to report loc established, and clearance to descend with the glidepath.