Your pill will protect you every single day of every pack, as long as you follow the directions, and heed the warnings. Even when you are on your period. Why would you even think that you can get pregnant?
The condom protects you from infections like yeast and bacterial (BV), as well as STDs when you are not sure of your partner's sexual history. It is also a good backup method if you are not conscientious about taking your pills. So using condoms as well is an excellent idea, but for different reasons.
Take care!