I recommend you switch from the outdated legacy date-time API to the modern date-time API.
import java.time.LocalDate;
import java.time.format.DateTimeFormatter;
import java.util.ArrayList;
import java.util.List;
public class Main {
    public static void main(String[] args) {
        LocalDate today = LocalDate.now();// Same as LocalDate.now(ZoneId.systemDefault());
        // I suggest you use the following variant and apply the required time-zone
        // LocalDate today=LocalDate.now(ZoneId.of("Etc/UTC"));
        List<String> dateList = new ArrayList<String>();
        // Define the format
        DateTimeFormatter formatter = DateTimeFormatter.ofPattern("EEEE, MMMM");
        // Iterate 7-times starting today with date incrementing by 1 after each iteration
        for (LocalDate date = today; date.isBefore(today.plusDays(7)); date = date.plusDays(1)) {
            dateList.add(date.format(formatter));
        }
        // Display the content of dateList
        dateList.forEach(System.out::println);
    }
}
Output:
Monday, August
Tuesday, August
Wednesday, August
Thursday, August
Friday, August
Saturday, August
Sunday, August
If the version of your Android is not compatible with Java-8 yet, you can backport using ThreeTen-Backport. You may also need help to set it up.
However, if you want to stick to the legacy date-time API, do it as follows:
import java.text.SimpleDateFormat;
import java.util.ArrayList;
import java.util.Calendar;
import java.util.List;
public class Main {
    public static void main(String[] args) {
        Calendar calendar = Calendar.getInstance();
        List<String> dateList = new ArrayList<>();
        // Define the format for only day-name and month-name 
        SimpleDateFormat curFormater = new SimpleDateFormat("EEEE, MMMM");
        // Iterate 7-times starting today with date incrementing by 1 after each iteration
        for (int i = 1; i <= 7; i++) {
            dateList.add(curFormater.format(calendar.getTime()));
            calendar.add(Calendar.DATE, 1);
        }
        // Display the content of dateList
        dateList.forEach(System.out::println);
    }
}
Output:
Monday, August
Tuesday, August
Wednesday, August
Thursday, August
Friday, August
Saturday, August
Sunday, August