That's just swell--congratulations! TV's Margaret Anderson, Harriet Nelson, and others would be pleased as punch!
The push button switches are still available here and there--consider being proactive and purchasing some for future replacements before they are discontinued.
If it indeed does have a convenience outlet a service tech will take it out if he or she sees it as it is against OSHA's safety regulations. I believe bathroom light fixture outlets were banned, as well, but am not positive (While Wally and the Beave had the option of using that elevated outlet their descendents' likely sole option is to use GFCI outlets).
I also wonder if one of your surface units (typically the front right one) is the original "Extra Hi-Speed" one for heating things more quickly (before microwaves were widely manufactured for domestic use). Its center medallion will state that. Correspondingly, I wonder if your other surface unit medallions have the cursive G-E logo with the knurls, or if they are the updated Calrod™ type. Btw, Calrod™ is a trademark of G-E. Regardless, you will want to degrease and polish them. Boiling in water and lemon juice is an option; baking soda is also good for gentle scouring. Would soaking in bleach work? (Idk)
And, of course, you'll want to go to your friendly Ace Hardware store and clean/polish/protect the white enamel with the classic Jubilee® Kitchen Wax first manufactured by S. C. Johnson & Son in the 1950s. If they don't have it on the shelf you can have them order it for you.
Here is a 1953 G-E range ad from a current eBay listing (can't tell if it's yours):
