Downloading apps on Imac 4.1 ????

when i try downloading apps from the app store something pops up saying i need a 64 bit processor.

does this mean i cant download any apps i tried different apps but still saying the same thin?.

this is my mac -

Hardware Overview:

Model Name: iMac

Model Identifier: iMac4,1

Processor Name: Intel Core Duo

Processor Speed: 1.83 GHz

Number Of Processors: 1

Total Number Of Cores: 2

L2 Cache: 2 MB

Memory: 1.5 GB

Bus Speed: 667 MHz

Boot ROM Version: IM41.0055.B08

thanks for any help......