The logo needs to be designed in a simple way, minimalized but brilliantly like the sample logos above.
We teach online: guitar, drums and base guitar - so try to make the logo suitable for all of these music instruments as one peace.
e.g , you can use guitar & drumstick vector in the logo, don't use guitar only vector, because we teach few instruments.
alternatively, you can use the music notes or other musical signs that you might think about.
Don't manipulate more than 2 elements on the logo, It will look the best if it stays clean and brilliant.
Don't make it too complicated - so people can understand the meaning and not think about it too much.
Also try to design the two words "GigFreak" in a single line, like the "BurgerBooks" logo - also use one colour only while working on the logo (it will keep the logo simple, clear)
A mascot brief is attached (though you do not need to design a mascot - just the logo), it includes all information regarding the website, what it does, the brand personality etc.