Are lightning network addresses the same as bitcoin addresses or are they completely different?
The Lightning Network does not use addresses for payments within the network.
When you want to pay someone, you will be given a Lightning Invoice (specified in BOLT 11) which will look like a very long address. These invoices specify various parameters of the payment you will make except for the amount itself. It provides the information necessary to route a payment to the recipient.
However Lightning invoices are different from addresses. Besides being very long, they are actually one time use as you can't use the same hash preimage for multiple transactions over LN. They are also much longer than addresses; these invoices aren't things that you would want to read out to someone. Although they still use Bech32 for encoding, Lightning invoices are completely separate from Bitcoin addresses and unrelated to Bitcoin addresses.