Edit: I forgot to mention the most important thing: It's a WWI "MK I" Springfield rifle that was constructed to use the Pedersen device, a slip-in replacement for the bolt that allowed the rifle to shoot a pistol size round semiautomatically. The empties would be ejected out of the port on the left side of the receiver. (If you were aware of this, please excuse the redundancy.)
It's been reblued, it's had the receiver drilled and tapped for the Lyman peep sight, so there's no point in trying to restore it.
First off, the holes drilled for the sight would have to be filled in with weld. Next, the high gloss salts blue would have to refinished with original rust blue. Then you would have to find a correct Mk I stock, plus all the original stock hardware such as handguards, barrel bands, retainers, etc. I noticed that your bolt is a Remington replacement, so there's something else. The original barrel would have had a 1903 "sliding ladder" sight mounted on it, forward of the receiver. Assuming that there has been no turning of the barrel to modify the barrel contour, the very least would be an original 1903 sight assembly necessary. If the barrel was recontoured, then a complete barrel replacement would be necessary.
To make it completely original, the Mk I trigger/action parts would probably have to be located as well.
Quite frankly, if the bore is nice and shiny as you say and the headspace is good, it looks to me to be an excellent hunting rifle. Mk I receivers were nickel steel and are very strong. That will make a hunting rifle that will probably outlast you and your grandkids.
Bottom line: You would spend probably close to $2000.00 to "restore" a rifle that would be worth at the most $400-500.00 because of the "restoration." Unfortunately, no collector would want it for that reason, unless they were desperate to have a "fill-in" piece for their collection.
