T.S.
This is the "dark" side of being a SAHM, the part everyone glosses over with "oh just enjoy it, it goes so fast, it's so important to be there, blah, blah, blah."
The fact is it can be incredibly tedious, boring and lonely! Your child is perfectly normal, they don"t really "play" with you at that age anyway.
Staying at home has worked for me for all of these years because I actually enjoy being by myself. When my kids were little I was able to keep myself happily entertained and occupied while they played nearby. I did housework of course, but I also did exercise videos, projects around the house, I talked on the phone with family and friends and I read a LOT. I also made sure we got OUT every day, usually to a park or a friend's house. Fresh air and a change of scenery was REALLY important to me. I can't stand to be cooped up in the house all day!
Do you have other mom friends you can get together with during the day? If not maybe you can sign up for some kind of mommy and me group or activity so you can start meeting people.
And if it turns out you really DON'T enjoy being a SAHM, do not feel guilty! It's not for everyone and it doesn't make you any less of a mother if you want and/or need to go back to work. Don't let anyone else tell you otherwise, you do what works best for you and your family :)