SVG — the SVG format — is completely separate from JPG. JPG encodes pictures as a raster of pixels, SVG encodes illustrations as mathematical descriptions of shapes, lines and colors. This means SVG images scale to all sizes — from a small icon to a massive print — with no quality loss.
Changing JPG to SVG is a process called vectorization, and it is very beneficial for icons and clean graphics.
Prior to converting JPG to SVG, it is important to realize what happens. JPG files are a raster image — a fixed grid here of image pixels. An SVG is a vector image — a set of mathematical instructions that applications renders as the image.
This works extremely well for uncomplicated graphics with defined shapes and limited colors — icons, logos, symbols and illustrations. It works less well for complex photos with complex gradients.
For quality conversion, Illustrator's Image Trace feature offers the most control. Load the image in Illustrator, select the graphic, open the Image Trace dialog and choose an relevant setting.
Try alljpgconverters.com for a totally free browser-based JPG to SVG solution with no download required.