I am glad to receive or I am glad to have received?

If you receive emails from this person periodically and you are always glad to receive emails from this person. It refers to the future as well.

I am glad to receive your email (or an email from you).

If you received one email.
If you have already received an email, and are glad about that.

I am glad to have received your email.

I was glad to receive your email. I was glad then, when I received, but now it doesn’t seem to be so.

The same is with “get a quick/prompt response”

I am glad to get a prompt response from you.

I was glad to get a prompt response from you.

I am glad to have received a quick response from you.

I am glad that you responded quickly.

I'm glad for your quick response.

Thank you for responding so quickly!

If you want somebody to respond quickly, say:

Thanks in advance for your quick response

or, formally, Please respond at your earliest convenience. Thank you.

When you will be looking forward to somebody’s email:

I’ll be looking forward to getting your email.

More Notes