It will sound different. You should be able to hear the difference. However, there are other factors at work. Besides what your voice sounds like, and the style of music and all that important stuff, you also need to understand that condenser mics are much more sensitive to room noise, etc. Unless you are recording in a very quiet room (usually this means computers arent running, and cars arent driving by), then I wouldnt consider the B1.
The SM58 is fine for vox, although I prefer the SM57 to it. A lot of mic selection depends on where you are singing, the sound of the singer, and how it blends with the music. Simply buying another mic isnt going to make everything much better, persay, unless it was a better fit for the application/variables.
If you are looking at low cost mics, you should also perhaps check out the AT3035, not to say that the B1 would be a bad choice. Its just too hard to know without being in the situation. But at the end of the day, the SM58 is a quality microphone. I would venture to say it is of higher quality than the cheap condenser mics, but thats just baseless opinion of mine