How to get text in QlineEdit when QpushButton is pressed in a string?

My first suggestion is to use Qt Designer to create your GUIs. Typing them out yourself sucks, takes more time, and you will definitely make more mistakes than Qt Designer.

Here are some PyQt tutorials to help get you on the right track. The first one in the list is where you should start.

A good guide for figuring out what methods are available for specific classes is the PyQt4 Class Reference. In this case, you would look up QLineEdit and see the there is a text method.

To answer your specific question:

To make your GUI elements available to the rest of the object, preface them with self.

import sys
from PyQt4.QtCore import SIGNAL
from PyQt4.QtGui import QDialog, QApplication, QPushButton, QLineEdit, QFormLayout

class Form(QDialog):
    def __init__(self, parent=None):
        super(Form, self).__init__(parent)

        self.le = QLineEdit()
        self.le.setObjectName("host")
        self.le.setText("Host")
        
        self.pb = QPushButton()
        self.pb.setObjectName("connect")
        self.pb.setText("Connect") 
        
        layout = QFormLayout()
        layout.addWidget(self.le)
        layout.addWidget(self.pb)

        self.setLayout(layout)
        self.connect(self.pb, SIGNAL("clicked()"),self.button_click)
        self.setWindowTitle("Learning")

    def button_click(self):
        # shost is a QString object
        shost = self.le.text()
        print shost
        

app = QApplication(sys.argv)
form = Form()
form.show()
app.exec_()