So, it I import both together, I will have access to the balance?
You do not need to import either your addresses or your public keys. The only thing you need to import is your private keys - Electrum will derive the public key and the address automatically from the private key.
Okay, I have two paper wallets and each one has a public and private key. Does the fact I have both unlock the wallet?
The wallet will be "unlocked" simply by possession of the private key. The public key and/or address are simply printed so you can look up your balance or deposit more coins to the paper wallet without having to expose your private key. The private key is all that is needed to spend the funds, and is the only thing you need to import to Electrum.