Network+ covers the very basics of networking such as topologies, cabling, OSI model, the difference between a switch and a router, etc. I'm sure the information would be helpful to you, but IMHO i wouldn't take the test itself, unless you feel that another acronym would make your resume look nicer
It sounds like a great plan as it would increase your familiarity with the subject of networking which is always a good thing before tackling the tougher test.