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Well, there certainly are no shortage of options for this trip. The fastest way there will be I-10 to the LA area and then up I-5. Its 1500 miles, which is a 3 day trip traveing 8-10 hours a day. You might be able to squeeze it down to 2 days, but you'd really be looking at uncomfortably long days (14+ hours on the road) and you'd probably be pretty exhausted when you get there.
If you take more time, you've got tons of options. You could simply make your way down the Oregon and California Coast, or you could see the more inland wonders like Mt. St. Helens, Crater Lake, Yosemite, or Death Valley. You could also work over towards Salt Lake City, and the cut south through the many national parks in Utah.