Intially you need to purify the IgG from the serum using a matrix of Protein G/A beads then you can quantify the IgG. Although, it would not be accurate but it would give you a rough estimate of the IgG if quantified by electrophoresis. The option is to analyse the purified IgG with known standards of IgG on a native gel. Based on your quantification you can estimate aproximately yield of IgG per ml. of serum sample.
There is an old established methos in clinical chemsitry calles serum electrophoresis. This runs on a cellolose acetate membrane. All proteins will be stained and measured by surface photometry. You will get there the Albumin fraction, Alpha- beta and gamma globulin in % below the curve. If you have the total protein value (by lawry, biuret ...) you can sue the Gamma-globulin percantage to calculate the immunoglobulin content. This will work for most species and any medical lab should run this on a routine level daily for an low price.
see also: http://en.wikipedia.org/wiki/Serum_protein_electrophoresis
As T Kiessig, I would say that you can estimate the total gamma globulin by electrophoresis and this is a common analysis, performed daily.
If you want determine concentration of a particular immunoglobulin that is impossible with conventional electrophoresis method unless it is a monoclonal immunogobuline. You can estimate it by measuring the peak area. To do this it must be in sufficient quantity or isolated from other immunoglobulins, otherwise it is impossible
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