I got a flu shot about a 1.5 weeks ago and bled when i got it. now i have a deep bruise and some arm pain through the whole arm. is this normal?

No, but possible: Normally one wouldn't bleed after any vaccine shot, but very occasionally the point of the needle might pierce a slightly aberrant large vein inadvertently, and result in more bleeding that typically occurs. The deep bruise tells me there was bleeding under the skin. This normally passes with time and will gradually get better. Sometimes a heating pad or warm soaks help speed the resolution.