I guess it depends on what you're using it for. Since it's for a veg room, you're not worried about light getting IN to your grow room (and disrupting a light cycle), right? You just want a material that's REFLECTIVE - so you can increase the amount of light the plants see - and cheap enough to hang on all the walls of your grow space? In that case, the material you bought already MIGHT still be reflective enough when it's hanging on the wall of your closet or some other SOLID surface - like plywood, or that white cardboard stuff (what's that called, poster board?) that they sell in crafts stores. You might try taping it to something other than a window screen (like the wall of your closet) and see if it actually makes the space look brighter then how it looks without. Then again, maybe you could use just the posterboard against the walls of the closet and skip the extra materials.
Anyways, mylar is good...as is the 6-mil black-and-white poly that's also available at many hydroponic shops. Both can be stapled or taped to walls and removed with little or no damage to the paint job. You can't buy either of these at the dollar store, unfortunately. They'll cost you a few bucks more. If you want to do it on the cheap, pick up a few sheets of posterboard, prop 'em up around your plants and see if it makes the leaves look "brighter." Probably shouldn't cost too much.