Doesn't sound stupid at all
There is a thread on here with basic first aid advice but I can't find it
With cuts you need to
* put direct pressure on to stop them bleeding (and raise it above heart level if neceasaey).
* Once its stopped bleeding I clean it with antiseptic spray or wipes and then
* either steri it or just cover it with a clean dressing.
I usually change the dressing every 3 days (or more often if its bleeding through/i have any concerns). It needs to be covered with a sterile dressing really to keep it clean and free from infection.
Burns are more difficult to treat at home, I think the advice is that if its a second degree b**n or worse (or if its big or on sensitive areas like the face etc) you need to seek medical attention.