Welcome to frog forum Cordelia. You have definitely come to the right place to learn all about your new frog! The first place to start to get good advice is to copy and paste these questions and your answers here: http://www.frogforum.net/tree-frogs/...enclosure.html
This is all info that is extremely important for us to answer your questions. But I can tell you, burrowing isn't normal at all. Something is stressing your frog out. It could be the humidity or it could be being handled too much. Even though white's tree frogs tolerate handling well it should still be kept at a minimum. It can be stressful for the frog and they can absorb harmful oils from your skin. I only ever handle one of my frogs and it's to put him in a container to feed him. Before I do this I thoroughly rinse my hands under the faucet, dry them really well and then spray them with the dechlorinated water I use to mist.