How do i get my shape to move? I want it to move using the while statement provided

You have to move the object in the application loop and you have to redraw the scene in every frame.Change the center coordinates of the circle in the loop and draw the circle at its new location in each frame:

import pygame

pygame.init()
screen = pygame.display.set_mode((360, 360))
clock = pygame.time.Clock()
x, y, hmove = 10, 10, 1

run = True
while run:
    for event in pygame.event.get():
        if event.type == pygame.QUIT:
            run = False 

    x += hmove
    if x >= 350 or x <= 10:
        hmove *= -1

    screen.fill((0, 0, 0))
    pygame.draw.circle(screen, "red", (x, y), 10, 2) 
    pygame.display.update()
    clock.tick(100)

pygame.quit()
exit()

The typical PyGame application loop has to:

• limit the frames per second to limit CPU usage with pygame.time.Clock.tick
• handle the events by calling either pygame.event.pump() or pygame.event.get().
• update the game states and positions of objects dependent on the input events and time (respectively frames)
• clear the entire display or draw the background
• draw the entire scene (blit all the objects)
• update the display by calling either pygame.display.update() or pygame.display.flip()