The "Just Dance" star insists there is no limit to her ambition and will not to stop working until she is more successful than her idol.
She said: "I want to be around for 25 years. I admire Madonna and Courtney Love and the way they reinvent themselves and kick a*s. I want to do that and be even bigger."
The 22-year-old singer is prepared to sacrifice her love life to rule the charts – but admits she would find it hard to stay away from men.
She added: "I'm not interested in settling down. I just want to make music and f**k random people."
Lady GaGa has been touring with the Pussycat Dolls but has been disappointed by her performances. However, she has promised to show fans a better stage show when she returns in April.
She added to Britain's Daily Star newspaper: "I adore being in the UK but the shows I've done so far are nothing to what you will see from me."
"The dollar is so bad I haven't been able to take over all my equipment and do a full set – but I will. The US doesn't get me like you guys do but it doesn't bother me."
