I'm trying to have 1 of the LEDs light up when the condition is true, and turn off and light the other LED if it's false
#include <LiquidCrystal.h>
LiquidCrystal lcd(12, 11, 5, 4, 3, 2);
int Blue = 8;
int Red = 9;
const int sensorPin = A0;
int reading;
float temperatureC;
void setup()
{
lcd.begin(16, 2);
pinMode(Blue, OUTPUT);
digitalWrite(Blue, LOW);
pinMode(Red, OUTPUT);
digitalWrite(Red, LOW);
pinMode(sensorPin, INPUT);
Serial.begin(9600);
}
void loop()
{ reading = analogRead(sensorPin);
temperatureC = (5.0 * reading* 100.0) / 1024;
Serial.print(temperatureC);
if (temperatureC >= 20){
digitalWrite(Red, HIGH);
digitalWrite(Blue, LOW);
}
else
{
digitalWrite(Blue, HIGH);
digitalWrite(Red, LOW);
}
lcd.setCursor(0, 0);
lcd.print("TEMP: ");
lcd.print(temperatureC);
lcd.print(" C");
delay(500);
}
Both LEDs turn on when the temperature is less than 20, and both turn off when its more than 20.
Haveyoueverheartoflayout?Indentation?
pres ctrl+T and see how that looks 
Next, how did you connect those LEDs? I see nothing wrong (at least not with that) in the code.
After some rework:
#include <LiquidCrystal.h>
LiquidCrystal lcd(12, 11, 5, 4, 3, 2);
const byte BlueLedPin = 8;
const byte RedLedPin = 9;
const byte SensorPin = A0;
void setup(){
lcd.begin(16, 2);
pinMode(BlueLedPin, OUTPUT);
//digitalWrite(Blue, LOW); //the default
pinMode(RedLedPin, OUTPUT);
//digitalWrite(Red, LOW); //the default
//pinMode(sensorPin, INPUT); //only applies to the digital mode
Serial.begin(9600);
}
void loop(){
unsigned int reading = analogRead(sensorPin);
float temperatureC = (5.0 * reading * 100.0) / 1024;
Serial.print(temperatureC);
if (temperatureC >= 20) {
digitalWrite(RedLedPin, HIGH);
digitalWrite(BlueLedPin, LOW);
}
else{
digitalWrite(BlueLedPin, HIGH);
digitalWrite(RedLedPin, LOW);
}
lcd.setCursor(0, 0);
lcd.print("TEMP: ");
lcd.print(temperatureC);
lcd.print(" C");
delay(500);
}
Also note, a float does NOT simply mean a decimal point and is pretty hard for a Uno to do.
I connected longer part of the LED to a resistor, then the pin, and the shorter part to the ground. The rework still has the same problem. Thanks for helping out btw.
The rework had nothing to do with the problem 
But at all times, only one of the two leds is lit?