As we don't know what are the names of your activities classes, let's call your current activity Activity1, and the one you wish to open - Activity2 (these are the names of the classes)
First you need to define an intent that will be sent to Activity2:
Intent launchActivity2 = new Intent(Activity1.this, Activity2.class);
Then, you can simply launch the activity by running:
startActivity(launchActivity2 );