React Native Bullet Character? or Unicode?

There is a much simpler way,

Try using Unicode.

2B24, 25CF, 26AB, etc... these are Unicode for black filled dots.

USAGE: <Text>{'\u2B24'}</Text>.

You can search more Unicode here, http://www.unicode.org/

If you're wanting to create a TextInput that obscures the entries (e.g. for a password input), TextInput has a secureTextEntry prop.