Have to decide what you're going to restore it AS, too.
There are half a dozen rear sights. Your rifle has the El Cheapo model, which is not incorrect, although it is damned inconvenient. Same as safeties: you have the British type, whereas purists will insist that it have the distinctive Long Branch safety. They both work fine and, just to add a cup of confusion to the soup, Long Branch also made the British type! Look for tiny little marks: LB superimposed is Long Branch, F is Fazakerley, M is Maltby, C is Savage.... that will help to sort out strange parts which have attached themselves.
Restoring as a representative combat rifle is not hard at all: just replace the parts and see that they fit. Restoring as an original Long Branch rifle is a little more difficult and a tiny bit nitpicky but the result is a CANADIAN rifle which just happens to be the finest wartime rifle made anywhere: well worth a few nits, I would say.
You have the basis there for a fine restoration. When it comes time for fitting the fore-end so as to get the best shooting, you might scoot over to milsurps dot com and check out their Lee-Enfield Knowledge Library. Everything in there you could ask to see, including downloadable Armourers' manuals.
These are the very BEST of Lee-Enfields and they can be made to REALLY shoot.
For a real treat, load your own shells: 37 grains of IMR-4895, 180 Sierra Pro-Hunter, seat to overall length of a Military round. MV will be a little slow (2250 rather than 2440) and pressures will be low, but the rifle will like it. Master that 2-stage trigger and YOU can make teeny-tiny little groups with THIS rifle.
Have fun!
