(ed: I’ve had magnificent $3 chinese pens, awful $3 chinese pens, and some that can be improved with fiddling. Most Americans prefer broader, more “buttery” writing, which can be hard to get from the average Chinese nib. For most beginners, then, I’d say get a basic medium nib pen from an American/European/Japanese brand.)
Refillable pens can be had for not a whole lot more, but the ink reservoir will be smaller, so, even though they usually come with a free cartridge or two, you may end up wanting to buy a few extra cartridges or a bottle of ink in order to get enough writing time to really get a feel for the pen.
https://www.jetpens.com/blog/great-beginner-fountain-pens-th...
On the slightly cheaper side, the Pilot MR is usually a bit under $20. It's more of a traditional fountain pen look. Pilot Metropolitan is a common name for it (or more specifically a type or MR, just different color/pattern options IIRC).
Then there's all the Chinese pens, some of these are fine but it's hit or miss. I'd suggest sticking with a known manufacturer for a first pen since they have better quality control (especially on the nibs).
Be wary of buying pens on Amazon, their counterfeiting problem extends to fountain pens. Pen retailers like JetPens or Goulet Pen Company are safer since you know they're coming through the real distribution channel.
http://www.deskoflori.com/blog/2015/4/16/my-experience-with-...