ericploeb: Go for it. If you don't make it, just make sure you turn back before you commit to more than you can handle. The mountain will always be there, you have lots of years ahead of you to gain knowledge and experience.
Several items: To get a permit, you need stop at the Visitor Center in Lone Pine. They will do night-drop box, if you call the Wilderness Permit number: 760-873-2483. (Call several days before you go to find out your options.)
Altitude may be your biggest issue. Get some Diamox, take it starting the night and morning before you drive up. If it is going to, AMS will set in after spending a night at Trail Camp.
Most people can make Trail camp in 6 to 8 hours with a normal overnight backpack. No need to start before dawn.
Ice and ice axe use: Make SURE you can descend what you go up!
Watching this video by the British Mountaineering Council is mandatory:
Mt Whitney hiking and climbing videos Another good one:
Ice Axe TechniqueRelated:
Glissading from Trail Crest and hazardsTrip report with glissading video on Whitney:
6/1/2014 Dayhike Summit by beginner hikers