1) Yes.
2) "too heavy for the cabinets or flooring"? Possibly. For this reason alone I suggest replacing it with a regular MDF laminated counter. Cabinets are usually flimsy, with 3/4" stud holding the counter at the perimeter and 1/8" plywood covering the walls. When I was replacing my 2 years old counter - wanted a smaller sink and bigger working space - I found that this 3/4" stud was cracked where it was supporting the gas stove. Just driving on poor roads a few weeks caused this.
By the way, my gas stove was attached with 4 screws #8 into the butt of this MDF countertop, i.e. horizontal screws in 5/8" MDF, and the counter was TAD cracked around the screws. If your stove is installed similarly, I don't know how you will drive screws into granite slab.
Get MDF counter from a big box store or specialized counter shop, just make sure that thickness and the profile is the same - i.e. with or without "lip". If you are averagely tidy and don't let water pooling on the counter for days, MDF counter will last a decade or more.