Depending on whether you are planning on staying close to edmonton or are willing to travel a bit (couple of hours by car) you can see things like Fort edmonton park which opens in may, West Edmonton mall is pretty much a requirement if you are in edmonton so count on at least one day there. Golfing, Live Theatre at the Citadel and the Aviation Museum are some other things within edmonton.
To the west about 3ish hrs is banff, jasper etc for your mountain views and such. Lakeland county has 150 lakes and oodles and oodles of wilderness for camping, hiking and fishing and is about 2ish hrs north of edmonton.
Since you're driving you can also check out drumheller to see the badlands, which are pretty interesting.
Alberta = Boreal Forest to the north, mountains to the west, plains to the east and dryland to the south.
Go. you'll have fun.