Geezer
If you have the original ignition you have a Bosch HKZ system, which was state-of-the-art in it's day but alas is no longer particularly remarkable. The good things about it are the pickups are pretty indestructible but the wires from the pickups do need insulation replaced, you can do it yourself if you're careful or have an automotive electrician do it. If your old wiring loom is OK use it, although you might want to think about moving the junction box for the ignition/power up to the back of the tank and away from the spray area in front of the back wheel.
The CDI box under the tank either works or it doesn't. When they work they're OK but not really up to keeping a strong spark at high revs. When they don't work you have to buy another 35 year old one secondhand. and you only have 1 advance "curve" which is pretty aggressive, designed for racing where you don't need anything except full advance much.
Lighting power is also a major issue on the HKZ systems, you may have as much as much as 120W if you're lucky, but this is at 7500 rpm, no regulator. If you use it around town get used to push starting with a flat battery. I was good at it when I was 20, at ... well, more than 20, I don't think it would be much fun anymore.
All these problems can be addressed with the installation of a modern digital ignition. You have several choices, a German one from Uwe Witt, an Australian one from John Wilson (saw a used one just the other week, but he doesn't actually make them any more and this may not be a good lead), another German one from Sachse, and (iirc) a Czech one from IgniTech. All good, all address the power issue differently. Redax Engineering in Australia do a complete stator and flywheel with a much larger alternator, the Witt one supplies a higher output charging coil. Lots of threads about these things in the archives here. All provide much better ignition and a choice of advance curves, necessary with the modern fuels we have to use. You'll have to replace the coils too, recommendations vary depending on the type of ignition you install.
Aside from that decision, the rest of what you need is just determined by fixing what previous owners have done to the bike over the years. For an Italian bike, Laverda actually did a pretty good job of designing and installing the components, just matching original specs should be enough. Use quality connectors (a bit hard to find) and match the original wiring gauges. You'll probably find handlebar switches are pretty badly worn, you can still get original NipponDenso switches if you look around, but they often clean up fairly well with a bit of TLC.
Ken