If it is one of those mini gift roses you may never know the name. The hybridizers do give them names but the companies that distribute them never include them. If you have the tag that it came with you can google the company and see what stock they carry and may be able to compare it and find the name but that's iffy at best. And to complicate matters even more these companies will often use the same name for several different roses.

Looks alot like the one I got a few yrs ago and I was told it was called LAFAYETTE PATIO HIT. Mine ended up dying. It was pretty tho.