I am generating new addresses with the blockchain api and sending funds to them from a primary blockchain.info address. Just wanted to know if those transactions will appear in the blockchain or are they internal to blockchain.info?
Yes, all transactions to and from blockchain.info wallets will be recorded in the blockchain. blockchain.info does not control their customers' private keys, making it impossible for them to perform offchain transactions. In contrast, Coinbase uses internal accounting for transfers between Coinbase accounts.