CUDA Cores

REAPER doesn't make use of CUDA.

I have a dual screen system, the video card has 1 gigabytes of memory, if i upgraded to an video card with 2 gigabytes of memory would there be any benefit to doing so.

Probably not to your Reaper sessions, unless you're doing video on 4K monitors or something.

Some plugins can use CUDA. Such as some convolution reverbs. Reaper itself does not.

I read somewhere that processing on the GPU benefits mainly tasks that can be prallelized. Which is not so much the typical DAW processing. Anyway considering modern hardware, running a DAW itself is not a processing-intensive task at all. Running plugins in that DAW is. That's why AFAIK plugins are free to allocate system resources as they see fit. Which they do. So plugins that can benefit from high parallelization if engineered right, use the available GPU resources by default. User interaction is generally not required for this to work.

^^^ Yeah I think acustica/nebula recently dead ended CUDA support and they were really hot on it for a number of years, especially for reverbs.