A lot of good advice above already on bullet choices. Find the one your rifle likes best and go with that.
For a stock, you could look at Boyd's if you are thinking wood or laminate. I just put a wood (AA Claro) on my LH Rem 700 in 358 Win, and like it a lot (drop in required no additional fitting). For synthetic there are a lot of choices. For some the recoil of the 35 Whelen is more than they are comfortable with, with hot, heavy loads, so a lightweight synthetic may not be a good choice; but you know your recoil tolerance and can decide what will work for you. A LimbSaver pad will also make a big difference for felt recoil.
While not a 35 Whelen, the 358 Win is its little brother in a short action, and for illustration I will put the pic of my build here for you:
Fo a scope, Trijicon has some great options for you, and the green dot or triangle works best in low light (our eyes lose yellow first, then red, and green last). Leupold has some great options too: the older VX-3 scopes are great, and I also like the older VX-R with the Firedot reticles, or newer scopes with the Firedot reticles. The illuminated dot or cross stands out in low light on black/dark fur in the timber very well, and will aid in shot placement. While you may be shooting short range for a bear, where 1 power on the low end would great, there will be other hunts with this rifle in the future and you will want to buy once, buy right; a 2.5 or 3 power at short range will also work, and give you a little more magnification for future hunts where shooting ranges may be extended, and 6-9 power on the high end may be of better value in the long run. Just additional considerations for you to consider as you determine what will work best for you. (The scope I went with on my rifle is the VX-5HD 2-10x42 w/ Firedot reticle as I had it on hand)
Have you considered if you will be putting iron sights on it too? NECG makes some great sights.
Hope your build turns out as you anticipate and that you have many great adventures with it!