Here’s how naming convention works for T-Bills: Naming Convention for Treasury Bills trading in the bond market - #2 by siva
You’ll receive the securities within 5 days of the auction date. This support article explains it in detail.
Not aware of any website, but you can read this chapter on Varsity to know how T-Bills work:
T-Bills are issued at discount and redeemed at par upon maturity. You can check the yields on RBI website.