Maybe it's gotten better, but last I tried it, TortoiseGit simply did not work well. It was buggy and awkward. It crashed. And I agree with what I think you're saying in that it obscures a lot of what makes Git different. (That said, I still think it would be very useful if it worked well.)
There is TortoiseGit, which is basically TortoiseSVN over git. It looks much the same.
You can regard it as a good place to start with git, or as something that stops you learning what makes git special.