No.
It’s not necessary. Glass doesn’t absorb so you can drink milk in a glass cup,wash it out with soap and water,and drink your juice out of the same cup with a meat meal. The same goes for glass dishes,but only clear, uncolored glass. If it has a color then it must be either only dairy or meat.
We have a set of glass mugs and a set of fancy glass cups that are both dairy and meat,but the mugs that match our china sets are strictly meat or dairy.
I will go one step further,that according to Hacham Ovadia Yosef, those aforementioned clear,uncolored glass cups and dishes used a whole year for both meat and dairy,may be washed very well and scrubbed to make sure there is no residue and they may be used for Pesach.