Totally personal opinion I think because it depends on exactly how much she's into stuff and whatnot. I only had to put locks on 2 cabinets with my DD just to keep her out of my "fun" stuff like scrapbooking supplies and the soap and whatnot under the kitchen sink. I moved all hazardous chemicals in a high cabinet in the laundry room so there was no risk of her getting through the cabinet lock.
BUT then I had my DS and everything changed. That kid is into everything he can possibly reach. Plus he's tenacious and figured out the "traditional" cabinet locks I was using, so I had to find something else (DH and I can't stomach drilling into the drawers or cabinets for baby-proofing...I'd sooner just empty them out). I found these and they work GREAT! So I have those on all the cabinets that I don't want him into now. As far as drawers, honestly, I just moved anything that could be remotely dangerous or destructive (knives, meat cleaver, etc) into a high up cabinet and he mostly just bugs with the "kid drawers" that have their cups/bowls/etc in them now that it isn't as fun getting into the others because I don't freak out
Hope that helps
We never locked our drawers, but did do the locks in the cabinet. DS figured them out and we had to get a different kind of lock. Like this one. Safety 1st Secure Tech Cabinet Lock - Safety 1st - Babies "R" Us
It will be interesting to see what happens with this next one, but for now we haven't had to lock anything. I moved the dish washer soap just in case, but she can technically get into even where there are knives - but she knows not to touch them, or if she does it's to help us take them out of the dishwasher. I think it's something you can teach, but at the same time, you need to know how much she will get into it, and how much you can move out of reach.
We only locked the knife drawer and moved breakable items to the upper cabinets. I'm not really big on baby proofing. Knives are one thing because they can get truly hurt but everything else we just use as a teaching moment--either for us or them. We teach them "no we don't touch that" and we also teach ourselves to be more flexible--does it really matter if they take all the mixing bowls out? Probably not. It isn't convenient, but what about parenthood is?
we just have one of those push down tab type locks on the knife drawer. Obviously my kids know how to open it now and we have never bothered to remove it. It did the job.
I need to move our cleaning products, but we typicallly don't lock drawers and cabinets. Knives are on the counter and out of reach. He's pretty good about that stuff anyhow. When he was little, the kitchen was not free reign and he was usually in the family room playing while I was cooking. Now he goes into his cabinet or the fridge sometimes to get a snack, but that 's about it.
As for doors, those are locked (but since he can open locks) anything that goes to the outside has a latch at the top too. We bought the safety stuff that goes over the knob, but smarty pants took it off without barely trying, lol!