The answer is no, you will not insert another transaction in a block, but a transaction is generated to do the query.
Let me explain better:
When an application wants to insert data into the blockchain, it generates a transaction.
The application will contact endorsing peers for making the transaction proposal, check the results, and only if they are equal and correct, the transaction is sent to the ordering service.
The ordering service is the only one who is allowed to generate new blocks for the blockchain.
The ordering service receive these transactions and insert them into blocks, and then send the blocks to the various peers in order to update their local copy of the ledger.
Instead, when you want to do a query, you generate a transaction to communicate with one or more peer, the peer will send you the answer but here the transaction ends.
By ends, I mean that the transaction is not sent to the orderer, he is not contacted at any point when you do a query.
This because you query the ledger contained in the peer, which is a local copy of the ledger, and you don't generate a new block.
So, transaction is used to communicate with the peer, but is not sent to the orderer in this case, it is not written inside a block and it is not used for that.
Inside blocks you will find only transactions approved by the application after the proposal, which are next validated by the ordering service and can modify the world state.