You have a couple of options, but the generally best approach here is to create getters:

public class PersonalId { // ------------------- renamed: it was "personal_id"
    private int id = 0;   // ------------------- fixed: was "privete" instead of "private"
    private String name;
    public PersonalId(String name) { // ------------------- renamed: it was "personal_id"
        this.name = name; // ----------------- fixed: was "name = this.name"
        id++; // this line makes little sense, it's the same as declaring id = 1;
    }

    public int getId() {      // ------------------- added
        return this.id;       // ------------------- added
    }                         // ------------------- added
    public String getName() { // ------------------- added
        return this.name;     // ------------------- added
    }                         // ------------------- added
}

And use it like:

public class Creator { //  -------------- renamed: was "creator"
    public static void main(String[] arg) {
        PersonalId john = new PersonalId("John");
        System.out.println("John's id: "+ john.getId());
        System.out.println("John's name: "+ john.getName());
    }
}

Output:

John's id: 1
John's name: John

Generally speaking, you could also change the properties’ visibility from private to public (e.g. private int id = 0; to public int id = 0;) and use it like System.out.println("John's id: "+ john.id);, but that is generally frowned upon — it is considered a bad practice since it does not foster proper object encapsulation.

Sidenotes

As you can see from the comments, your code also had some other problems.

Firstly, the name of the classes violate Java naming conventions and guidelines, in which the name of classes should be camelCase. In other words, you should have PersonalId instead of personal_id. Also, you should use Creator instead of creator (notice the first letter, it should be uppercase).

Also your constructor increments id in:

id++;

But that makes little sense, since id is declared with a starting value of 0 (private int id=0;), id‘s value will always be 1 after the construction.