Is it normal for your period blood to be bright red and heavy on your last day of your menstrual cycle?

Depends: Varies from person to person and even in the same person. Just as long as it stays regular it is regular for you.

May be normal: It would not be so abnormal to have bright red blood on the last day or so of cycle. This likely represents a part of your endometrium that is still sloughing. If you develop other symptoms such as abnormal cycles, excessive bloating or abnormal cycles altogether this would necessitate further evaluation.

It can be: Color ranges go from brown, maroon, to bright fluorescent red/hot pink, light pink, blood red (hence the name!) the more oxygenated it is, the brighter red it is. Even on the last day of your period. Can be heavy too, although normally it's not. Some people have short heavy periods, others have heavy, then light. So, it's quite individual in reality.