Agree with Woofgang - some of their training methods are awful i.e. 'pinning dog to the ground to teach them who's boss' etc - terrible!
Some easy lessons are:
Sit - Stand in front of your dog, hold food or toy in hand at their head height, but close to your body. Say command 'Sit' and whilst you move the food hand towards them and over their head - this will raise their head backwards and their body will naturally sit down to watch where the food is going - As soon as they sit, give the dog the food and TONS of praise. Repeat.
Use this food following method to get them to follow you to heel (hold food near your hip and use the command 'heel' as you begin walking) and after a couple of paces, if they stay with you and concentrate, give them the food & praise. Keep gradually upping the amount of paces you take before the treat.
Wait - get your dog to sit. Hold up a your palm towards the dog (as a traffic policeman would do) and say 'Stay'. walk backwards a couple of steps - repeat command - walk back to your dog and give them the treats. Keep doing this and gradually up the amount of steps backwards you take. If your dog comes out of sit - go back to them silently and ask them to sit again.
The more they understand that if they don't do as told, they don't get any fusses/ treats, the better the dog will be trained. They want to please you, so go wild with the happy praises! Good Girl!! Well done!! Good Girl!!! (don't feel silly, no-one can see you!)
Lie down - this one is fun to learn and you can try and ask your dog to lie down from sit position just by using the moving hand to floor technique (mine did not understand this at all) so have your dog 'sit'. Sit on the floor yourself at a right angle to the dog and raise your legs to create a tunnel. Move the food hand under the tunnel whilst saying 'lie down' gently and hopefully the dogs nose will follow the food under your legs, naturally causing the dog to lie down - as soon as his body touches the floor - Treat/ praise / well done!
Keep doing this and every so often, try without sitting yourself on the floor to see if she can remember the 'lie down' command.
Persevere! Your dog will love spending so much quality time with you, getting fusses and treats and it does take time, but is worth it.
One of the best commands I think is teaching your dog to 'Leave It' - this has come in handy when in public spaces and someone has dropped mouldy food on the floor - Once she has learnt to sit & Wait. Teach her to come to you (after you gradually have built up the distance) - when she is good at this, place a treat between her and yourself when you are walking away from her and when you are in position, call her to you with your food in hand - if she goes towards the food on the floor shout 'Leave it' and if she does and comes to you give her amazing amounts of praise! Keep practising this and it will work - of she goes for the food, completely ignore her, take her to her 'sit & wait' place again and try the exercise again.
All the best :-)