Gesso is technically an acrylic primer, although people commonly refer to all primers as "gesso."
Liquid white is Bob Ross' patented oil painting medium. It is designed to create a slow-drying, slippery surface for the application and blending of additional paint. This is easier than adding a brush full of painting medium to each new color or mixture on the pallet. The final results of the two techniques would be identical.
Another art term with several meanings is "medium." A medium is the binder for pigments; some paints come premixed (oil paints, acrylic paints) while others are a powder to which the binder is added while painting (i.e., egg yolk and water for egg tempera.) Watercolors may be premixed in tubes or "cakes" to which the artist adds water. Or medium just refers to the genre (oil paintings, acrylic paintings.) Medium can also refer to the additives, thickeners, thinners, retardants and other chemicals artists add to paints.
Acrylic colors can be mixed on the pallet or on the support itself. The wet-on-wet technique is more difficult with acrylic paint because it dries much faster than oils, as in minutes vs. days. Blending can be enhanced with drying retardants and also by thinning acrylic paints with clear medium and/or water. The acrylic painter can also borrow the "wash" technique of the watercolor painters, letting a layer of paint dry, then "blending" with a subsequent layer(s) of thinned paint. A lot of experimentation is required. And don't forget the number one rule - never put acrylic paints, mediums, or glazes on top of oil paint.