String strName = "name";
String[] strArray = new String[] {strName};
System.out.println(strArray[0]); //prints "name"

The second line allocates a String array with the length of 1. Note that you don't need to specify a length yourself, such as:

String[] strArray = new String[1];

instead, the length is determined by the number of elements in the initalizer. Using

String[] strArray = new String[] {strName, "name1", "name2"};

creates an array with a length of 3.

Here's a solution that:

• doesn't use any imports – except for java.util.Arrays so that it can print out the character array for verification, but that's only for this answer, doesn't have anything to do with the code solution itself.
• builds an array of Character, and not java.lang.String as you posted in your code – your expected output ["h", "e", "l", "l", "o"] could be an array of Strings (double-quotes) but also looks like it would work as characters

import java.util.Arrays;

String s = "hello";
Character[] chars = new Character[s.length()];
for (int i = 0; i < s.length(); i++) {
    chars[i] = s.charAt(i);
}
System.out.println("chars[]: " + Arrays.toString(chars));

Here's the output:

chars[]: [h, e, l, l, o]