I just want to make sure if I'm correct; does this look correct to you?

When all of the hydrogen of the Sun is used up, it will turn into a red giant.

Is red giant correct?

Sort of... it will never use up all the hydrogen, but if the core stops fusing for lack of fuel, it becomes a red giant for awhile.

http://wiki.answers.com/Q/If_a_star_becomes_a_red_gaint_when_all_its_hydrogen_is_used_up_and_later_becomes_a_nebula_How_can_a_nebula_star_form_without_hydrogen

thanks:-)

Yes, your statement is correct. When all of the hydrogen in the core of a star like the Sun is exhausted, it undergoes a series of changes. Initially, it will expand and become a red giant. During this phase, the outer layers of the star expand while the core contracts. This causes an increase in the star's size and brightness. Eventually, after the red giant phase, the star will undergo further changes and eventually shed its outer layers, forming a white dwarf, while the core may collapse to form a neutron star or a black hole.