Traditionally, the cake with the burning candles is a birthday cake. The birthday child blows out the candles and wishes for something. Generally for celebrations and congratulations.
The birthday cake emoji was introduced in 2010 and released as part of the Unicode 11.0 standard. This emoji can be found under the food and drink
category. Because the birthday cake emoji has been around for quite some time, it should display correctly in the majority of operating systems.