It's a good song for a first-time...The first verse is kind of messed up, because you are using "her" and "him" too often. Maybe you should rewrite it because the idea behind the verse is good, but the way you expressed it could have been more interesting.
I agree with thj625 that you have to work on a song structure, like verse-chorus-bridge-chorus or something like that, although you can also repeat one verse in the end. to make it more melodic, like you tried to do with "To give me a heart to love her/you"...
But again, there are a few good verses out there( I liked the "There are two many tomorrows" part) and I see some potential here
...Good luck with writing other songs!
"Life is not about the numbers of breaths you take, but more about the moments which take your breath away"...