Hi. My name is TracFone Alita. Sorry that you're having a problem. I'm going to try to help you now. The web browser could not be disable since it's a feature that comes with the phone. The only way to avoid keep hitting the browser button is to enable the phone lock. In that way, if you are not using the phone and the web browser button is accidentally press, it wouldn’t go through and it won’t deducts your minutes since it’s lock.
To enable the phone lock with your phone, please go to Menu> Settings> Auto key lock> Set auto key lock > Go to “on”> press done, then return to the main screen. Thank you.