I'm putting together a plan for my bunny's condo. My bf's dad saws names out of birch plywood, is this wood safe for bunnies? Otherwise what type of wood could I use? I'm going to cover them with linoleum but just in case she's able to get to the wood.

I know un-treated pine is okay. I forget if there's any other types.

I think that any wood that is called treated may be unsafe because of the chemicals in the treatment. I also know that cedar is not safe. Other than that, I believe many woods like birch and aspen are safe.
Did a search of previous posts using keywords "safe wood" and several posts came up, so you may want to read them too.
This seemed quotable on one of them:
"Verdict was -untreated-Safe trees: Willow, spruce, ash, birch, maple, juniper, poplar, apple, pear, hazel and hawthorn"

Aspen and Birch are safe, as long as they are completely untreated!!! treated wood has cyanide in it and can get your bun very sick or even cause death!! Rabbit pam is right on the list of types of wood you can use, but if you get wood from a supplier they should be able to tell you if its untreated or not.