Webster won the Scottish Cup with Dundee United in 2010 before repeating the feat with Hearts last year and will lead the Edinburgh side out against St Mirren on Sunday in the absence of injured captain Marius Zaliukas.
The 30-year-old, who was at Hampden to promote the final, said: "Once you have finished your career you can look back and sit down and look at what has been and what could have been.
"But it's like anything, the more you experience it the more you want it, and Sunday is another opportunity for us to win.
"We had a great experience here last year with the Scottish Cup so it's something we will be looking to replicate on Sunday.
"Hopefully it stands you in good stead. There is a bit of experience.
"A few of us have been here before and know what to expect so hopefully that experience comes through on Sunday."