"char inChar = (char)Serial.read();" why is the "char" in brackets? and what is it called
It is called type casting and will convert one type to another. The return type of Serial.read() is int, because it will return -1, when you try to read without any bytes being available. The casting with (char) will drop the high byte of the (2-byte long) integer, leaving only the lower byte. This byte will contain the actual read data, in which you are interested here.

Casting is a complex thing, because there can be different ways to convert different types (for example maintaining the bit-content vs. maintaining the decimal value). The casting, that you are seeing here, should only be done, if you really know, what you are doing. The bits will not be changed to maintain the correct value, but the bit-content will be preserved, unless the new type is smaller than the former. In this case the rest is lost. Also, if you try to cast a float value to an int value with this, you will get a totally different decimal value out of it, because the numbers are encoded in the bits in a totally different way. Here it is known to be OK, especially, if you are checking for available bytes before reading with Serial.available(), because the library puts the ASCII data in the lower byte.

For further explanations you should consult C/C++ guides.