Is there a grill at the park for us to make hot dogs and burgers while enjoying the park area?

No.

There aren't any grills, but they do have places to set up a picnic (tables, benches, lots of open space under shady trees).

If there is a grill ..

They don't allow grilling or kite flying. They do have benches and picnic tables though.

I didn't see any grills. But you call check the online maps for the same.

Don't believe I saw any grills during our visit. There are maps of the grounds online you could check though.