The speedometer is driven off the left front (if not R.H. drive), so that's the first catch. The cable runs through the spindle, and the square end of the cable goes through a square hole in the grease cap. 63 may be held by a cotter pin, later ones used a circlip. Remove the pin or clip and make sure the end of the cable isn't stuck in the cap before prying the grease cap off.
Stock 63 uses two lock nuts to adjust the bearing, with a folded-tab lock washer to secure them. Replace the lock washer. Some aftermarket kits replace the two nuts with a single clamping nut like the later Beetles (different thread tho). 63 would also have stock ball bearings, but there is a kit of taper bearings to replace them that are more rugged and last longer. If bearings are loose and making noise I'd always replace them, as bearings are cheap.
If you keep the two lock nuts, tighten the first to seat the bearings, then back off. There is also a keyed thrust washer between the nut(s) and outer bearing, and it must be free to shift around with light pressure by the edge (not prying) of a screwdriver - when the lock nuts are secure.