1. "Can you please suggest me" or "Can you please suggest to me". Which one is correct expression?
2.Suggest me any website where I can improve my sentence structure skills.
I see a lot of Indian English-learners write "reply me" (instead of simply "reply" or "reply to me").
It's the same here. The best thing is simply to say "Can you please suggest... (a good restaurant, a Web site, etc.). Otherwise, "Can you please suggest to me..."