I came out to wash my car this weekend, and after I rinsed the dust off, I noticed these scratches on the driver's side of the bonnet! Any ideas? or am I going to have to take it to a paint shop?

 

I had one very small scratch like that from a rockSaw it comingBut from what I can see,that looks like dog claw marks maybe.
Mine was so small that touch-up paint,clear coat,and wax got rid of it.Yours looks like it my need more work to repair though.

 

You can try Maguire fine cut scratch remoer, it worked for me. Then a nice coat of zymol.

 

Run your fingernail across the scratch, perpendicular. If you can feel it with your fingernail, you will not be able to completely get rid of it without repainting. However, you may be able to polish it out enough to the point where it is not that noticeable or you don't mind. Start with the mildest polish you can find, if that doesn't work try something stronger.