There are many ways to skin that cat. Taking a canoe building class with one of the builders who offer that gives to access to a form, materials and expert instruction. In that situation you can have a hull ribbed, planked, decked, canvased, filled and railed in a week. The option then is to allow them to finish it or to take it home, allow it to cure before you do. Pat Smith, Rollin Thurlow, Jerry Stelmok are among those I know offer this option. There are certainly others.
To build your own, you can buy form kits from some of these builders. Rollin sells a ready to build form. It should be possible for you to assemble it in a week.
If you have a form and wood to work with (cedar for planking and ribs, ash, cherry, oak for rails, thwarts, decks, Oak or ash for stems) it will take a pretty good amount of time to prep the wood, a day to build a steam box, stem form, taper jig for the ribs. It will take a day to cut, shape and route the ribs, a day to make the stems, a day to 1/2 day to make the decks and inside rails. It will take several days to saw the planking out from rough boards and plane it. Thwarts can be made in a day. Seat frames can be made in a day but learning to cane and caning will take much longer. Many of these steps can actually be done more quickly if you are not working through a learning curve.
The first step is to get your inside rails on the form and rib it. You can do the entire hull in one day. Next you plank most of it. Depending on the size of the boat, one day. Off the form and finish planking, install the decks, oil up the planking, one more day. Canvas and fill....one more day. Then you wait. The hull needs to cure for 6 to 8 weeks before you can do much more. The varnishing of the inside can be done before it is canvased. Make your seats, thwarts, shape the outside rails while you wait. Once the hull is cured you may start to sand, prime, paint...that takes at least a week depending upon the weather, how many coats you use, how fussy you are. Varnishing can also take a lot of time.
Paint on, now you can install the rails, seats, thwarts and stem bands. An experienced builder can do that in a day but figure on two. The boats done...no keel! We won't let you poke holes through that nice fresh canvas. Add it up and say without building a form you have about 14 plus full days of continuous work but about 3 or so months from start to finish when you consider the time it takes between steps.
Most of us would figure on 6 months or so assuming that we allow time for mowing the lawn, chasing turkeys in May, working through the honey do list.
There are a few good books available here on this site that can get you going and as Paul noted, a local chapter can help you get started.
To make a good go of this you will need a good table saw to rip out the ribs, planks and rails (some vertical saw on a good band saw). It will be very helpful to have a planer to plane the boards and ribs. A good drum sander is useful for shaping thwarts, half ribs etc. You will need a router and router table to shape the edges of the ribs and seats and the outside rails. You will need a draw knife to rough out the decks and thwarts. A band saw can be used for shaping the stems and inside rails to fit the decks (but there are ways to do this with the table saw). You will need a clinching iron, good small hammer, flush cut hand saw, a few gauges and canvasing tools that you can make yourself to mark the gore, the cut of the top boards etc. You will build a couple clamps to stretch the canvas. For faring you can make a block sand paper holder. It sounds worse than it is but it's good to know the extent of what is involved.... It' exciting and fun work. Building (IMHO) is much easier than restoration. It's far more predictable.
And for a bit of comical perspective, if you have the skills, parts, motivation....one can be built in a day or two. This AA grade boat (
http://www.wcha.org/content/1906-old-town-double-gunwale-sold) was built in one day. It was oiled, shellaced and canvased the next day. Then it was filled, railed, colored and shipped. 4 total days were applied before it was shipped.