'05 Impala blower wont shut off and wont blow heat

Sounds like you have a shorted power wire to ground in your heater circuit.

you may need a new blower motor.

start with using a meter to test for power start from fan back to switches need to check harness and connectors

No it wont. You will want a blower motor from a 2004-2011 chevy impala, 2004-2007 monte carlo, 2004-2008 pontiac grand prix or 2005-2009 buick lacrosse.

usually the blower motor ,first check for any blown fuses then after that check for blower motor make have gone bad sometimes you can knock on the bottom of the passenger side of the dash an will come one especially if it is going bad

my A/C fuse keeps blowing out every time i put a new one.. It blows it about 15 minutes after the new one.. What can cause this?

read this post on what's causing blower motor to run all the time.

http://ricksfreeautorepairadvice.com/blower-motor-wont-shut-off/
Blower motor wont shut off Ricks Free Auto Repair Advice

I think you need to check the blower motor first,
using a test light locate the blower motor,it will be behind the glove box under the dash,Turn the key on and the fan switch on,now check the wires to motor,One will be black thats ground,Check the other it could be red or blue,if your test light lights up its the motor.

I have a 2005 impala, the blower fan will not shut off unless I take it out. any solutions

Do You mean air doesnt blow cold or fan doesnt blow strong.If you mean it doesnt blow cold that means you need to have a/c recharged.The reason it gets cold after being on the road for a while is because compressor takes time to cool freon when it is very low