The Eiffel Tower is a profoundly disappointing structure if you see it close up and in daylight (unless you are an engineering history geek or similar). It looks nothing like all those nickel coated tourist souvenirs you've seen just bigger and better ie it is not an intricate and lovely bronze sculpture.
It's painted a particularly uninspiring matt brown, and it is set in a sand pit.
My advice is to view it in the evening from the square above the Trocadero Gardens. You look out across the Seine, over the Trocadero's fountains and it is there directly in front of you. As night falls the crowd gathers and once the required level of darkness is upon the city, the lights on the Tower spring into life. There is a bit of fancy flashing with coloured lights and pretty patterns, then it settles down to glitter like a piece of jewellry set with white diamonds.
Afterwards you can go off to dinner at Le Wilson -- touristy, cheap and friendly.