I'd certainly recommend to any tourist going up the west coast for the scenery. Invest in midge nets, though: the black ones are the easiest to see through, and at this time of year you'll need them. (They're like beekeepers' nets, going over your whole head.)
My tip? Visit the Applecross Inn for the best pub food in Scotland (multiple winner of that title for the UK). If your time or distance are limited, Mull is a beautiful island and is just a short ferry crossing from Oban.
Further north, the mountains and scenery in Assynt are spectacular, and it's often windy enough to keep the midges at bay. (Are you beginning to spot a motif here?)
On your way north from Glasgow, Fort William is a good option for stopping and shopping. Frankly, I wouldn't go out of my way to visit Inverness. However, if you really must go there it does have a remarkably good Chinese restaurant in Union Street.
Use bed & breakfast - it's a better way of seeing what life is like in rural areas, and it's not so steeply priced as hotels and guest houses. If you do make it to the Western Isles, never, ever consider staying in Stornoway (unless you have friends to stay with, of course). There are too many reasons for that, but space only permits one: you'll be charged the earth for the worst accommodation you have ever seen provided commercially.
Of course, if you're really into culture and want a taste of Gaelic, then, er, Glasgow's the place to be.