Assuming you have the appropriate hardware and software, does mining involve the person mining to sit at the computer to mine or do you fire it up and just let the software run and check back later to see the results?
The extent of human involvement in mining is to get the software and hardware and then run the software on the hardware. No one actually has to sit at a computer and do anything in mining. They don't even have to come back and check on anything as all aspects of mining are automatic save for computer setup and maintenance.
The latter, the person doesn't have to do anything. The computer/ASIC will usually be running software which creates a block candidate automatically after it receives each new block (or in pool mining, when it receives a candidate block from the pool server), and will then hash the block repeatedly with different nonces/extra data in the coinbase transaction until it finds a valid hash. If it does so, it will automatically send it to the network/pool server and begin working on the next block. Its mostly completely independent unless something crashes and requires a person to restart it
You just have to fire it up and wait for the result.
The only human involvement is at the beginning of the process to select the hardware (ASIC, SSD Drive, etc) the best way (solo mining or pool mining), the best pools, if you choose pool mining, and things like that.
Unless and until there is a power outage or hardware failure or network issue, you don't have anything to worry about.