I edited my post because I think it wasn't quite the advice I'd want to receive in your situation.
Just driving the 1 is scenic, but can be slow. And to really take advantage of many of the best views, one has to pull over at the various turnouts and such. Of course unless you do it a lot, which most of us don't, you won't know which turnouts are the spectacular ones and which ones are Meh. This takes a lot of time and you won't get there in a day if you do that. So just driving the 1 isn't where the fun is. It can actually be aggravating if you're scheduled to be somewhere and you get behind a truck. To do the one and fully enjoy yourself takes 2 or 3 days and overnight stops at various spots. Then you're at your leisure and if you get stuck behind a truck, you just pull over at the next turnout for a spectacular view. There will be another turnout when you catch back up to him.
Note that the fastest way time wise is to take the 101 to Gilroy, then take 152 East over toward Los Banos, to the 5 and on down. But the 5 in the central valley is boring and ugly. But I'd nevertheless suggest it if you're on a schedule, Save the PCH for when you're not trying to get there in one day and have time to spend a couple or even 3 days on it stopping for the views, overnighting and doing things at various places along the way, and the like.
You could also take US 101 all the way in to where it meets with the 5 in LA. It will take longer than the 5, but a lot less time then the 1. It's not also as ugly as the 5. But not as scenic as the 1.
Be sure to check construction updates and the like before you go no matter the route you choose.